I would have told her only if we could switch spots, and see if she bakes. If she goes to shut the blinds, ask her to keep them open XD

Not really. I would have told her that I was hot, and I wanted to shut the blinds. And if she didn't like it, then she can get over it, since she's not sitting there. Although she might have had an explanation. Maybe her car was there with something in it? Don't know, I guess I would have asked why as well.