I disagree. Faye is as passionate about her art as Marten is about his music.
Which is to say, not very.
It could be fear of failure, or fear of trying. That's possible. But there's not enough evidence to suggest that to be the case.
Her fear of abandonment probably played into her lack of happy for Angus. Of course, it is just as likely that she hadn't quite reached "in love" with him, as has been suggested.
After all, fear of NYC, fear of success, etc doesn't explain why a LDR was instantly ruled out at the moment of crisis. Fear of abandonment or lack of strong love does.
Admittedly, such things are irrational, by nature. But the rationale of emotion tends to be internally consistent.
Faye was afraid Angus would get the job. Yet she had no logical objection--or any emotional objection--to a LDR. She didn't just reassure Angus. She told Dora the same thing. She believed it made sense.
Except for some small part of her that knew the truth. Some time before the first audition, that small part decided that moving wasn't an option and the same to LDR.
For what reason? That's not completely clear. But whatever the reason, she knew, unconsciously, that it was over if Angus got the part. That might even explain why she handles it so poorly. If she had the epiphany, "I have known for weeks that this is what would happen. I just didn't admit it to myself," she probably would have found it just a bit difficult to have a straight talk with Angus.
Of course, that's also speculative. But not to the same degree as saying she fears New York. I dunno. Maybe I am projecting. I have a similar feeling about LA. I wouldn't move there except as a last ditch survival effort. But I am not afraid of it. I just don't like it. Everything Faye's done is in line with "don't like." I hesitate to extend that to mean fear, absent more evidence.