I know this post is old but I felt like I had to react to @AwaitingJudy's post as I do not at all agree with it.
I had my children through sperm donation. The choice of donor was a lot less loaded emotionally for me as I knew the child would have a biological connection to me even if they looked nothing like me. Even so, it was really important to me to feel an emotional connection to the donor, and I also specifically chose a donor who looked like me because I wanted my child to look like me.
In this case, where the OP is going through the egg donor route, it is so understandable and human that she would want this emotional connection and physical ressemblance to the donor. She is not "shopping around" and she is not throwing a hissy fit because the donor has, say, a master's degree instead of a PhD or a less than perfect breast-to-waist ratio. She is, understandably, disappointed that the donor who seemed a perfect fit and who she was led to believe would be available for her, no longer is available.
I didn't see in her post a lack of appreciation for the donors. I think we all appreciate the amazing thing these women are doing. It is not ungrateful to acknowledge that donors can be a be a more or less good fit or not depending on who the recipient is.
The OP is now in the difficult position of having to either accept a donor who's not as good a fit for her family, or wait god knows how long in the hope that a better fit may become available. I think she needs understanding and compassion rather than a lecture about how she should just be gratiful to get anything at all. I'm sure she is already grateful and dismissing her disappointment is not helpful.
@Apple04 - for what it's worth, I don't think you're going to be disappointed with your child when they arrive. But it's an emotionally fraught process and it's normal to have doubts. You've probably already thought about this but either way you'll be the one carrying the child, nurturing it through its growth. It's going to be YOUR child regardless of who the donor is. In fact you may even come to be happy the other match didn't work out because your child will seem perfect just as they are. But if you feel you should wait for another match that is also a totally valid choice.
Whatever you decide I hope it works out for you.