How serious is an infection in the head of an animal (ie. near the eye & brain)? SERIOUS. A.S.A.P. see the most experienced vet that has dealt with this before (surgery).
Can she make a good recovery? Probably, with prompt & proper care...I've seen (not my snake) similar conditions treated successfully (surgery & antibiotics).
There are no other options...the start of a mouth infection might be helped with Betadine swabs, but that won't touch a deep abscess like this. You chose to buy this
snake that IMO should have been a gift to someone willing to provide proper medical care. I'm a little surprised you bought her, but now you owe her the proper care.
She will die slowly & miserably without it.