She was a beautiful woman. It wasn't wrong to notice that. The Asgardian still insisted that his heart belonged to Jane Foster. Still, it surprised him. Perhaps the mask was for protection. He didn't understand why she what reason she would have to hide her face.
"I am Thor Odinson, royal prince of Asgard."
Clearly the man hadn't been on Earth long. He certainly wasn't found as a baby and raised by nice Kansas farmers that encouraged secret identities. Thor only had the one.
When she asked for soap, he awkwardly shifted gears to retrieve it. Misgardian homes were difficult, fragile places to live and he was especially delicate opening doors and checking on supplies for her, handing her different kinds of soaps, peroxide, more gauze or anything else he thought she might need.
"Here," he said gently. "So... Batgirl is your warrior designation? Your friends must call you by another name off the battlefield."