There are several Wrestler classes I've found but all of them use fighter or monk as a base class.  I thought it would be cool to make a Bard version that focused more on the entertainment side of real wrestling.  It's here Here let me know what you think.

You already have proficiency with unarmed strikes just as a regular adventurer schmuck.

You might like something for using a different ability score for unarmed strikes, bards aren't known for having great strength. And if they did, the class would become very MAD; multi abilityscore dependent. Additionally, unless you add your bardic inspiration, you're only going to be doing about 5 damage per turn with your unarmed strikes, which is quickly surpassed by even vicious mockery.

The 'Talk the talk' ability doesn't sound like wotc wording, usually it's a round, a minute, ect. It also doesn't specify when the effect wears off. Maybe it lasts for a minute and they have the opportunity to make a charisma/wisdom save at the end of their turn? Additionally, subtracting the roll from the actual score gets confusing as a DM, it might work like bane, where any ability checks or saving throws they make with that stat is reduced by your bardic inspiration.

There are a few grammar and spelling issues. 'Phasique', 'unarmoured strike'

I think it sounds fun. I do agree that it seems too many stats are involved but, you could be well rounded, just not maxed like many classes would prefer to be in at least one attribute.

That said, I have a couple other comments and ideas.

Your first 3rd level feature is basically Expertise.That's fine.

For the second 3rd level feature, I suggest Fighting Style. You pick a feat from the choices of Grappler, Martial Adept or Tavern Brawler.

Move Trash Talk to 6th and include that Bardic Inspiration works normally as well as incorporating this abilities specific exceptions. I also agree that a Bane style mechanic would be easier. Use Inspiration dice to affect enemies strikes and saves in contests against your Athletics or Acrobatics check actions.

Move Flair to 11th level.

Thanks for the feed back.

A character with this build would probably already have all of the features in Wrestler's Phasique. You could just give them proficiency in those skills. A higher unarmed damage die and an option to use a bonus action for an unarmed attack would be very useful for that level.

A agree with changing the Talk the Talk ability score changes to skill/save modifiers. 

You could also add a once-per-round add CHA modifier to an unarmed damage somewhere in there - it seems too weak.