Once its outside leave it there. Dont ever bring it inside to your indoor grow room. I learned that the hard way years ago. My whole indoor grow got infested with mites, gnats, and powdery mildew. Then once introduced its a pain in the ass to clean your indoor grow room so the mold doesn't affect the next grow.
As far as your outdoor auto, I wouldnt be too worried about bud rot from heat, bud rot is usually do to moisture and rain. If your plant is that easy to move then just put it somewhere where the rain cant get to it when it rains. I have 3 autos outside (werent supposed to be autos but got jipped) and they are budding real good right now. Its been raining alot here lately so I just strung up a cheap led grow light in the garage and when it rains during the day I just put them in the garage under the light till the rain stops.
