Yes, that's more of what I'm trying to say. I dont understand why she won't do it.
I won't pretend to know your friend, nor what they've been through, but it sounds as though she has made up her mind about it, likely from having dealt with the inability to change her situation (anxiety).
The way you describe her reactions, sounds a lot like me.
Based on my personal experiences, this is my line of thinking (again,
I won't pretend to know her, or her situation, this is just my take on it):
She probably feels like you're trying to change her in some way, to suit
your needs and wants, while dismissing her viewpoint that she's ok the way she is. This can lead to her feeling like she's not good enough for inclusion in your life, and that you're openly hinting at that when asking her to "fix" her anxiety, and from her standpoint, she might see your motivation as purely selfish in nature. Whether this is the actuality or not, is irrelevant, if the perception is there, and I think it is, then that's going to lead to problems.
She needs to know that you accept her, for who she is now, in totality, regardless of your views on her issues, and you should recognize that, while you only want to help, you may be pressuring her in ways that you don't realize, by asking her to seek help with something that she doesn't perceive as being a problem. Does this mean you should cater to her whims as a result of her anxiety? Not at all. Just recognizing that she's ok with her level of anxiety will go a long way. The key factor in this is to encourage her without openly addressing her anxiety as being a problem, and also accepting that some things just aren't going to happen. This can strain friendships, true, but in the end, she has to want to do more, to be more than she is, on her own.
Again, this may not be the case here, but I've actually heard this my whole life, where people want me to change for them, and they put it about the same as you've put it here. In my case, I don't go out to places unless I have a reason to, and people see that and assume that I need to change that. That leads to them saying things like "you should get out more, be more social", but that doesn't appeal to me in the slightest, and I've stated that so many times. From my perspective, I don't understand why other people think I need to fix something that I don't have a problem with, and the idea that I should change it just because they think I should, is a selfish one.
Also, again in my experience dealing with anxiety, your friend might have tried, and failed, at changing her anxiety, without anyone else's knowledge.
When I first approached my anxiety issues, I tried counseling (didn't help), and medication to help me deal with the problem. Nothing worked, and the medication actually made the situation worse in some cases. One particular medication I was on, I'm pretty sure it was paxil, actually made me go into rages (as a side effect). Needless to say, I do not openly discuss that part of my life, with anyone (the only reason I'm doing it here, is to outline just how bad it can be for some people with anxiety), not even my girlfriend, because of how painful it was for me, to see it happening to myself, and not be able to control it. I gave up on trying to do something about my anxiety at that point, because my (and doctors') attempt to do so, had led me to worse situations.
I'm not saying that happened with your friend, but it is one of countless possibilities.
I would personally love to rid myself of anxiety, but my experiences have taught me that it just isn't going to happen without changing me into something I don't want to be.
Again, I'm sure you mean well, but at the end of the day, you have to ask yourself if your friendship with her surpasses the issues that she faces every day, and if it does, you should be prepared to face the reality that some things will not change, not because of a lack of trying, but because of a lack of means. And
maybe, just
maybe, the alternative
could be worse.