I think, Kavya was trying to maintain the peace/harmony at that moment between the 2 families, when Mayank/Adi were already fighting. Besides, I think, she was in a shock to hear such words about her/her father from Omi (first time)..
Dont think, she will forgive Omi, there must be something in plan by makers later. Definitely Omi is well protected by his father and need to be punished, have to wait and see, how the makers handle that..