TBH Monami doesn't look like she is that Dr's daughter and the way he views her as useless without her Dr coat and doesn't care about if she get hurt or injured it seems more like she is his step or adopted daughter.
Parents even if they don't support their child's dream or their certain decisions they would still want them to be safe, here is the total opposite case, he just wants her to give up even if it means she will get hurt.
And they don't share any mutual feelings, they don't behave like father daughter more like boss-employee......No worse.