the std is most likely HPV. It takes awhile to cure it but it eventually becomes unable to pass after a certain time.
cant you cure all hepatitis except for C?
ooo and see below regards to your hep concerns
Oral transmission
Hep A- yes
Hep B- Not likely
Hep C- No
Hep D- No
Hep E- yes
Well, you're correct to my knowledge there is no STD that can't be cured in a shorter periord of time unless it can't be cured.
if your friend is looking to stay with this girl then she should make it clear that she needs to be honest with her about her STD and what it is so that she may be safe. Otherwise it may not be worth staying with someone who isn't fully honest. although at least she told her that she has an STD and is being sexually safe. If your friend is willing to hang around until they find a cured for what ever STD this is then thats her choice.