Sorry if this comment seems in appropriate, but I thought in the desi culture in the West, once a woman is married, she isn't really under the control of her parents any more. I thought you were married but I might be wrong (sorry).
The only thing I would say from my experience, is that if you have controlling parents, it is best to try to gradually break out of that control. Once they realise that the control is slipping away, they will relinquish that control anyway. Search the internet for "how to deal with controlling parents". And I apologise, in advance, if this seems patronising at all.
I had very controlling parents and unfortunately I broke out of that control far too late, and far to abruptly, but that's a long story.
Anchoring is a NLP method. Forget it, I used to be into all of this until I realized most of it is a load of crap. Just another thing that's too good to be true, according to me at least.
@BlackDog an HighOctane: I agree, with regards to the specific meaning of NLP, it all a load of b/s.