yes, it is correct.

My sister does influence my parents. But they have been understanding lately since I have been doing better in my own life ever since I have been with this guy. My mum I feel is slowly warming up but my father is still not even slightly convinced. He says that I have much more to experience (love is something he does not support). They will not downright reject him based on her opinion itself?

I am doubtful about her yes. I in fact feel that she is holding on to this disapproval more because of her ego than my well being.