No I don't think it can be about Babita not accepting as Minnie's father.. Babita has already given him that right.. during hospital scene when he shouts he is Minnie's father.
I guess Babita understands there..also Hanuman has made it clear to her in starting that he has fatherly affection for her..Babita has trusted him more than anyone else for any fatherly duty for Minnie. It started with them going to doctor together for Minnie..I feel complications that he said is more about what accusations they have gone thru and how they have denied those and finally they succumbed to their hearts there by making people say that may be Hanuman helped babes for his own benefits.. something like that.. I m just guessing..let's see :)
Hmm... Wouldn't it be interesting if instead of Babita, HS is the one who is worried about log kya kahenge. Or maybe he is waiting for the moment when Babita will be ready to stop caring about log kya kahenge.