When she says you are "not listening to her," that might mean that you are not mirroring her emotions. People often don't want advice, they just want sympathy. Which means that instead of telling her what to do, you just say, "It must be really hard that...." or "It must be sad that..." Often, if you start with that approach, it leads people to figure out the best course of action on their own.
Our kids often don't want advice from us, even if they are complaining to us.
So, I think you should start with that approach, and let her see if she can figure something out.
She is certainly not "old," so she is being a little melodramatic about that.
Unless you are concerned that she might have some kind of serious depression, which could require psychiatric intervention, these kind of life challenges are the things that create strong, well-rounded individuals.
A great saying I learned recently is, "Life begins at the end of your comfort zone."
So try first listening to your daughter with empathy, but without offering solutions, unless she asks for them. If that seems to work at all and she cheers up a little, remind her that there are other jobs out there and she is certainly not old.