Pregnant over Summer

Here it's been 86 plus degrees quite often and I don't have air conditioning at home. Could this cause pre-term labour? I'm kind of paranoid because I'm already at risk for pre-term labour. I read an article that said if you over heat it could cause pre-term labour but I don't trust google all that much.  Anyone else hear this too?  I'm only 33 weeks so I still have awhile to go in this heat.