While states can extradite for misdemeanors, they usually do not. Most states will only extradite for felonies. It is not up to Texas - if Oregon wants to come pick you up within the time period and they have proven the warrant through the Governor's office, then you will be extradited.
It is best if you handle warrants without being arrested. You should hire a lawyer in Oregon and take care of your case there before you need to worry about extradition.