Ivee knew that the queen's earlier statement about Link sneaking into Gerudo Town was something that needed to stay on the low-down; she was her father's daughter, she recognized information that could cause problems if it got spread.
But she had a feeling that Link wasn't expecting that news to have traveled any farther than the queen and maybe one or two others of his choosing. Especially with that line about sending someone else in for him. He should know that it'd spread so she could get an idea from him just how tight to keep that little bit of news from the outside world.
"There's a place for you to change at the Kara Kara Bazaar?" she asked, giving him a broad grin that was amused, but a raised eyebrow that said that despite the amusement, she understood this could be a serious issue.
She didn't always handle things quite as bluntly as her father tended to. The bull down the streets approach wasn't always the best one, after all.