I think Babita is being unfair here... My opinion might not be a popular one here but I feel Babita needs to separate the equations between her and Hanuman and Minie and Hanuman.
Minie accepting a gift is purely between them. It wasn't sent to Minie through Babita. Hanuman has always been there for Minie like a father. He accepted that he cares for Minie like his own daughter (during the depression track).
And technically, in my opinion, Hanuman first fell in love with Minie and then eventually with Babita.
Also, I think Babita is now going overboard with self-respect. No one here is challenging her self respect. But I also understand that for someone who has never taken into account their own self-respect for a long time and are now understanding what self-respect is... they will go overboard with it and probably test the other extreme before finding a middle way.
But for her own sake, I hope Babita understands to differentiate the equations soon...