your thread title says transverse breech. i am not quite sure what you mean by that. breech means butt or legs is down, and transverse means the side of the baby is presenting. a breech baby can usually be born w/no problems, but i would NOT push AT ALL-let your uterus do all the work. this is b/c you need to let your cervix open completely to make sure the head is able to get out. the biggest danger of breech birth is a stuck head. also be prepared for resuscitation.
by transverse, do you mean that the baby is lying horizontally in your uterus? if so, it is physically impossible for her to be born like that. i think you said you are 31wks, so i definitely wouldnt worry yet- there is plenty of time for baby to get head or butt down. try walking, homeopathic pulksatilla, doing flips and handstands underwater, going to a chiropractor, getting moxabustion, doing a breech tilt, doing pelvic rocks, and explaining to your baby that she needs to straighten out.
eta either way, i would recommend letting a midwife feel your belly just so you know for sure what position your baby was in, so you can be prepared
i hope this makes sense. i am naking so i am trying to be succinct.