Okay I'm here with just a point about taani's behavior, which I guess is the reason of her behavior. Apart from her insecurities, main problem is Taani's behavior about hiding Rey's identity. This is causing every problem for now... she wants Rey to be just perfect in front of Mr. Shekhawat, her tauji.
My point is... till now what I'd seen in d3 Taani does not have dad, and for her father figure in her life is swayam's dad. Reason is this had not been so, she wouldn't had said in RH that haath mangne wala with her tauji, it would had been her papa. So for a person who has not dad, and is loved by her tauji with same affection, same care(I really think tauji loves taani as her own child, for her he does all the little things parents do for their kids, talking lovingly, caring, affectionate, supporting them) obviously that person would mean a lot, because accord to me parents are one's first love.(I don't know how many of you agree or not, but in actual life parents are the only persons who love you unconditionally, always, no matter what.) So not having dad, for taani her tauji matters more than her actual dad could and that's why she's so adamant and obsessive about hiding Rey's identity till tauji understands this. And regarding someone like taani for whom relations and love had been always a major factor, she definitely can't bear to loose anyone...Rey or Tauji... none of them. Both are really important persons in her life.