Holy shitballs there is a lot of mudslinging, and huge lack of empathy on this thread.
Those who haven't suffered infertility obviously can't possibly understand what it's like. But neither can any two people suffering infertility understand what the other is going through. No two people will deal with things in the same way.
Equally, those who do not have children can't understand what it's like to get the one thing you've always wanted, yet still be having massive mental health struggles.
Life is difficult for everyone in different ways. No one person's pain is greater than another's.. it just comes down to asking yourself (nobody else, family included) what treatment you are willing to accept from someone going through a tough time.
Your sister has cut contact with you, presumably to preserve her mental health. I agree with some others that this isn't the way I would handle the situation if I were her. Also, if I were you I would have expected at least a cursory, "I'm sorry, I can't be what you need right now, please give me time" and I think that is the least you could have expected from her.
Ultimately it all depends on what you want from the situation. Unfortunately you have no idea if your sister actually wants to meet with you, but if you want to salvage some kind of relationship then it's looking likely that you will have to be the bigger person and initiate a meeting, without baby, to see where the land lies.
You shouldn't have to do this, no, but that's the situation as it stands. Only once you two have an open dialogue, with both your expectations laid out, can you see whether it's possible for you to move on.
To all those projecting.. you need to try and stop. You're not helping anybody by making snap judgements based on the barest of information and your own massively emotive experiences. There is no one size fits all answer, and inciting others to hatred is ridiculous, especially given the lack of information here.