She settles, because she can tell that he's not budging. It gives her the excuse to relax, and just enjoy this.

"You think we can spare the time?" There's a hint of hope in her tone. She'd like to relax, even if it's just a day. But she also feels the weight of their mission, the looming threat of Sephiroth, pressing around them. It's part of why she couldn't sleep.