Take three: she's getting used to it. People use these springs naked, and Hermione does not, and that is that. If anyone has something to say about why she's continuing to wear her shift, who isn't actually employed by the inn and with power to ban her from using the hot springs, she'll carry on as she is.

For her own sense of calm, she closes her eyes every time she hears someone else approach now, and only opens when she has heard the splashing of water long enough to think they're in. Or whenever they speak, which in this case Danaerys does. Thank god.

"Oh - hello," she greets, opening her eyes and directing a smile her way. "Honestly, better now that I've been here a while, but otherwise exhausted." She gestures to her own head, tilting her head with curiosity. "Your hair..." The underlying question is what happened to it.