My two cents:
"woh aurat" could be some woman other than Arnav's mother in his dad's life
Since Nani and Dadi are friends...they would have married their children...may be Arnav's dad was an ambitious man...he may have got into a relationship or may be hooked with some woman that may have made Dadi mad and strained his relationship with Arnav's mother
Arnav's mother probably was like Anjali passive/weak woman and Arnav's dad never stood by her supported her...Arnav was very attached to his mom so this could have been a bone of contention between Arnav/his dad
Arnav says to Dadi he is not and will not be like his father...and he goes on to stand by Khushi and says where his wife is not allowed he has no business there either
Nani is more well rounded and sensitive strong woman to bear the storm vs. Dadi who is too idealist with her own values and at the core a weak woman...
Since Dadi called Khushi a servant may be her parents worked for the Malik's could be the connection...may be Khushi's mother could have been Arnav's mothers confidant...Khushi's father would have been Malik's faithful employee or something
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