You know your family better than anyone in here. If you feel that it may cause some angst then I would choose something else. If you don't think it will be a problem then go ahead with the name.

How is your relationship with your cousin? Is she the type of person who would say you copied her?

We have chosen a name for our little girl and I have some reservations about how my mother (of all people) will react to the name because she has mentioned once before her dislike for it (it was on our list when we had Nikita) but to hell with her opinion
We are using it because DH loves it so very much and he hasn't really had the chance to do a lot with me during this pregnancy so its his contribution iykwim.

I like the suggestion of altering the spelling a little as well so it will be the same name but different.

Nae x x