Help Please!

[Fraido]

I would do the feeding sometimes and I last fed her a couple weeks ago and she looked fine. She took her mouse and everything. She must have had it, just incredibly minor at that point.
Because we can't get her to a veterinarian, I don't have much faith, but I'm determined to try, she deserves it.
I'm still in school, and I don't have a real job, so I can't afford to actually care for another snake, but I am STRONGLY advising him to give away his snakes (he has three corn snakes). It needs to happen, he can't, and is not motivated to, care for them anymore. Not like he was when he first got them.
I live in a small town, so tomorrow I will get what I need.
Is that what that is, though? Gunk? I thought it was her jaw incredibly swollen. I will do my best, but it makes me uncomfortable poking and prodding at her jaw like that, I don't want to hurt her or anything.
Thank you very much for this, I'm glad I got a good response. Regarding the eyes, I believe her eyes look odd because of the flash, I think they're alright, but I will look again.