Mine spent weeks 27-36 moving between transverse and frank breech in spite of all attempts to flip her: yoga, chiropractor, iPod in my underwear w frozen peas at the top of my belly (desperate times...), and finally an unsuccessful ECV. If baby stays transverse further into third trimester, your doctor will probably talk to you about potential risks of the position ( mainly chance of cord prolapse), and address how it might impact delivery.
In my case, I was told that if my water broke or I had any suspicion I was going into labor to get to the hospital ASAP. My water broke at 36 weeks, and at the hospital they realized I was having contractions and was already 5 cm dilated. Baby's heart rate was good, but they could tell that some cord was under her and went forward very quickly (but not traumatically) w a c section. She was safely in my arms about 30 mins after I got to the hospital, and about an hour after I had woken up to my water breaking.
You still have a lot of time, so I would def recommend some of the yoga poses on Flipping Babies, and also looking into chiropractor and accupuncture treatment.