Hi rgphia, and welcome!
I have just gotten a new tiel," boss" as a friend for my male woody. Was told that boss is a boy as well, but having some doubts about that now.

Right now, I have noticed that woody only seems to want boss, and I cannot have one on one time with him anymore----at least not without boss right there too! so there will be some changes if you take a new bird! As far as the relationship goes------I really think if you have a good relationship, that it won't be ruined, it will just be a little different maybe, but as long as you keep spending time with your bird, or birds, I think you wil always have a good bond even with another bird. I will not let my relationship with woody suffer from getting a new bird, just do what I gotta do, and if I have to take boss with woody, so be it, and I was thinking if I really want some one on one time with either that I can try taking him to another room where the other one isn't and see if that helps. I think as long as there's a will, there's a way, and watching how happy my woody is now with a new birdie friend is worth a little change in our relationship to me.