"They're..." Thor tried to come up with a word that sounded right. Small, plain, adequate. He didn't want to diminish where she was staying at all. "...agreeable. Many of my friends live there."
Not realizing exactly that she was teasing, Thor may have been slightly distracted by the severity of her injuries and the half shed clothing that littered his bathroom, he said, "You may stay here as long as you require. When you are comfortable I would be happy to escort you to the apartment the City has provided and ensure that it is safe."
Also talk to Rogers about running into one of his worshipers. Thor still wasn't entirely clear on what he was supposed to do and since Rogers believed in a deity he seemed like he'd be a good man to talk to.