my parents said the SAME EXACT things to me (plus a little more drama actually) when I introduced them to a guy I wanted to marry. There were no other rishtas involved, so that’s not why they were saying no. but they were upset cuz I chose my own guy. anyway, after a few months of being hard headed and making them well aware that I WILL marry him, they backed down, and I have been happily married ever since ! So, yes this rishta between you and your girl is very possible, you both (especially her) just need to stick your ground no matter what. There was no way on this earth I thought my parents would back down, but when they saw how stubborn I was about him and that I was making the right choice, I got to do things my way.
so, if this works our ot not, is really dependent on you two, not the parents. Trust me on this, please. I know from experience cuz I went through the SAME THING