Hmmm I wonder if Kate Bishop will be his daughter under an alias or a completely new girl.

I think it won't be his daughter as hawkeye retired to live happily with his family so he won't put his daughter in danger

Yeah that makes sense.

But I’ve seen a counter theory where something happens to his family and he continues his daughter’s training. That would give him motivation to both return to his role as a fighter and expand upon his relationship with his daughter.