Greenhouses okay?

I live in zone 9B (Melbourne, FL) and just set this bad boy up today. Would it be alright for an orchid? I have cats that will eat every plant they see (and one even eats the fake Christmas tree) so I can’t bring my plants in for the winter. I do have a shelf I can put my own orchid on, but it gets no sunlight so I’ve been bringing it in at night and putting it back out every day.