Can your character be affected by mind control? Yes.
Is there anything he just CAN'T make them do? Nope.
Are you open to him pushing your character's mind? Yes.
If so, in what ways would they be most vulnerable to manipulation? Anything pertaining to his sister or the "skrull" nonsense.
Are you open to him erasing/implanting memories (if so, what kind?)? Yes. Again, things about Wanda would probably have the highest impact.
Is there anything you don't want him pushing for/mentioning ever? Nope.
Are you open to him pushing other characters for information on your character? Yes.