How can you get into and out of the feywild? And can creatures in the feywild transport you out of it?

I would just make up a way to get there. If there is an official way to get there I am unaware of it as I’m not super familiar with official dnd source material.

also, planeshift?

Technically? Plane Shift. Classically?

https://fairywoodland.wordpress.com/2014/05/26/fairy-doors-hidden-gateways-and-travelling-to-the-otherworld/

Are you seeking an entrance into Faerie? What would it look like? Is there a door to knock on? A bell to ring? You can, of course, leave a gift at the door of your Fairy House on each full moon until the Fairies invite you in, but openings into the Otherworld are also everywhere you turn, in every wood and grove, in each Earth place that remembers the wild. If you are searching, here are a few ideas to help you on your quest:

–Walk through shimmering air between two Hazel trees.

–Dive into the full moon’s reflection in a pool.

–Stop at the spider web across your path and ask permission to continue before you carefully duck under the web.

–Trace the outline of the hollow in the ancient tree, lay your hands above the opening, then crawl inside.

–Settle in to dream in the space between boulders

–Sit on the riverbank and allow yourself to be mesmerized by flowing water framed between overhanging willows.

–Make or buy a Fairy Door and install it in a special place and ask the Fairies to help you dream your way through the door.

Will this pathway lead to a Gateway to Faerie?

Once you’ve spent some time adjusting your consciousness to the idea that there might really be doors that allow you to enter the Faerie Realm, wander into any wood, any slightly wild place, down any trail. Follow your intuition, barely heard music, a butterfly, bird, or furry creature. Notice when the smell and temperature of the air change. A shimmer appears very faintly between two trees that stand in perfect symmetry, one either side of the path, their branches intertwining overhead, as though Mother Nature herself had built the arbor. If you walk on between the trees, noting only the lovely symmetry, you’ll have an uneventful stroll in the woods.

But if you recognize that this is a Faerie Door, you’ll stop. Sit in the middle of the track. Lie with your belly on the earth. Come back at dusk, at dawn, tomorrow, next month, on the full moon, on the solstice, the equinox, the cross quarter days. Bring offerings of food, wine, water from a sacred well, jewels. Bring a book of Faerie stories and read them aloud. Bring a child to read the stories to. You may grow old, waiting to be called. You may find the doorway opening immediately. But once you’ve recognized the door, sooner or later you will be invited to step across the threshold, through the doorway, and come home.

There is always a Guardian who keeps the doorway open and listens for the footsteps of those who seek the way. Allow the Guardian to take you by the hand and lead you to the threshold. You won’t know what’s on the other side but, whatever it is, it will be an adventure.

Traditionally Faerie is connected to our world through liminal spaces or times, when things are in transition between one thing and the next. The spaces between field and forest, sea and shore, or natural passageways. The times between waking and sleeping, night and day, or the changes of seasons.

The feywild is a strange place with lots of unknowns, and there are points, like faerie mounds, at which the border between it and the real world is thin. These places can serve as gateways, though some may only go in one direction. Only the most powerful fey (e.g. Oberon or the Queen of Air and Darkness) would likely be able to transport you out. That's my understanding anyway.

okay, so how can you get out?

Quote from smftre512 >>

okay, so how can you get out?

Technically? Plane Shift Classically? A trail of bread crumbs? A ball of twine that you've trailed behind you? Closing your eyes and running in a random direction while chanting "There's no place like home, there's no place like home?" Being very polite and asking nicely?

You might have to find another gateway from the feywild into the material plane—for low-level characters,  this could be a quest in itself. Note that time flows strangely in the feywild, so you could return at the moment you left or a hundred years in the future.

okay, thanks.

The answer might depend a lot on the setting and the DM.

But in standard D&D.  There is a section in the Dungeon Masters' Guide (https://www.dndbeyond.com/sources/dmg/creating-a-multiverse#Feywild) that talks about "Fey Crossings" where a portal connects the two realms.  In Eberron it has to do with if the world is 'coterminus' with the Feywild/Thelanis creating a mantifest zone, where travel can occur in both directions.  So the short answer is definitely portals.  Other spells as mentioned can do it too, as can several magic items like cubic gate or Amulet of the planes

I'm actually in a new campaign where I am playing an Eladrin  Horizon Walker who finds a crossing and that is their connection to the rest of the players.  Personally the portals is best, especially for lower level character options/campaigns.

okay

You can supply yourself with flight potions and fly straight up until you find a rift in the air float through it chanting “a rift through air and sky bring me to where I want to lay out of this world of faerie and fay to where I stood and lie” and good luck explaining your disappearing 

And another good idea is to wait for a higher level but if you can’t *USE THE PORTALS*