You could catch an std from performing oral sex on a woman. You could also catch like, a cold or flu or something (I think).

But if she's healthy, then no, it won't cause any health problems for you. And it probably has nothing to do with your kidney infection, although that must really suck!

yes you can get an std

Yes, yes and yes. No for the last one, to my knowledge. But STD's and yeast infections etc can totally be transmitted.