Apparently oral sex (mainly from hpv) is a major cause of
Throat cancer! It's a sad sad day...

www.dailymail.co.uk/health

not showing this to my girlfriend

Who doesn't already know this

It's from the Daily Mail, there's a story claiming something new gives you cancer literally every day.

Fortunately there are vaccines for most of the strains which you should look into soonest:
http://www.plannedparenthood.org/health-topics/stds-hiv-safer-sex/hpv-vaccine-19345.htm

They won't 'cure' you if you've already got one, but it will protect from getting new strains at least.

Also most strains just go away on their own after a while without causing any problems or exhibiting any symptoms.

It's also exceedingly common. There's about a 50% chance you or your partner will get it at some point in your lives without ever realizing it.
http://www.cdc.gov/std/hpv/common-downloads.htm

Probably the best things you can do other than get vaccinated are: use a condom, and don't smoke.

But oral sex WITHOUT hpv is okay?

Yes.

I didn't know you could do oral with your hand.

You just have to be creative enough.