Steve wasn't bothered by the blood - he'd take care of it in a bit. Although once Bucky had dozed off, he kept an eye on him, making sure he was still breathing all right before he finally picked up his phone and made that call, to get a doctor down here. He was very firm, though, that he'd meet them out in the hall with Bucky - and it was nothing to slide his other arm under Bucky's legs to pick him up and carry him into the hall to meet the doctor, when they arrived.