Can my girlfriend who is on a tourist passport file for divorce or an annulment if she was married in another country?

You cannot file for divorce in the state of Utah unless you have resided here for at least three months. I do not know off the top of my head whether someone who has been in the state of Utah for more than three months, but as a foreign national on a tourist or other kind of visa, could qualify as a Utah resident. The question of whether your foreign national girlfriend can be considered a resident of the state of Utah for divorce purposes is best addressed to a very good, very smart, very experienced immigration attorney. My best guess, however, is that someone from another country here in Utah on a tourist visa is clearly someone who does not intend to stay on a permanent basis but by definition someone who intends to spend time in the U.S. temporarily. Which means that she probably would not qualify as a resident of the state of Utah and thus be unable to file for divorce here. But I don't see why she wouldn't or couldn't file for divorce in the Philippines.

I am unsure of Philippine law but she can probably file in the Philippines.. However, unless she has permanent residence in the US it is unlikely she can file here.. jurisdiction of the US courts requires at least one party to the divorce be a US resident

She can only file for divorce where she is a resident. Check with an immigration attorney to see if she can qualify as a "resident" at the present time.

You need to be a resident to file for divorce and meet the residency requirement of whichever state you file in.