[She hesitates, because it's not appropriate, to offer what she's going to. But not because she's worried about Kida taking advantage of her or doing something; that's not a concern. She's more worried about how Mikado might see the offer, but she thinks if they both explain to Mikado he might offer the same thing, so she's not too anxious.]

[So she looks at Kida with conviction;]

You can stay at my place.