You spent years learning the secret of the nature and you live in there. You have an animal friend. When you call it, they can help you. And you studied magic under the druid in the forest, so you knows some druid spells.

Skill Proficiencies: Animal Handling, Arcana, Nature, Survival

Tool Proficiencies: Woodcarver's tools

Languages: You can choose two language. 

Equipment: A Healer's Kit, , 10 Feed (per day), Hunting Trap, a set of common clothes, and a pouch containing 5 gp

Spell List

Animal Friendship, Animal Messenger, Speak with Animals

Spell Level	Spells
1st	animal friendship, speak with animals
2nd	animal messenger

Suggested Characteristics

You studied magic and nature so I suggest this background to spell casters or ranger. And this background is good to chaotic good characters because zoomagist lived in nature so they didn't met many people. 

d4	Personality Trait
1	I respect druids.
2	I don't like to meet people.
3	I think I know the nature better than anyone, except druids.
4	I am horribly, horribly awkward in social situations.

d4	Ideal
1	Knowledge. The path to power and self-improvement is through knowledge. (Neutral)
2	Nature. Saving nature is important than anything. (Lawful)
3	No Limits. Nothing should fetter the infinite possibility inherent in all existence. (Chaotic)
4	Self-Improvement. The goal of a life of study is the betterment of oneself. (Any)

d4	Flaw
1	I will do anything to save nature.
2	I don't know how to use money well.
3	I don't like people.
4	I can’t keep a secret to save my life, or anyone else’s.