There's a little part of me that ships Izumo and Rin because of how she was after everyone found out he was the son of Satan, on the train to Kyoto when she went out of her way to sit by him and make him feel better a little (whilst insulting Bon and the others to balance out the good karma she was receiving of course). I mean, Izumo can act pretty hostile and pushes just about everyone away, so what she said to Rin on the train to Kyoto was downright miraculous.
On the other hand, I don't really ship Rin and Shiemi because it bugs me how bloody oblivious she is. She misinterprets just about every conversation/person/situation she comes across. That was probably harsh, because she can be sweet, but to be honest most of the time she gets on my nerves. Sorry Shiemi xD