Condensation.
Hot pipes.
Fashion a cover that covers her top not her sides. It won't be so good for blowing rain, but dew and heavy dust will stay off. Gosh. Had I to park Vera outside I might use a combination of the two types. A 'rain-fly' for dew and moderate weather and a cover for pending doom. We travel with what is basically a rain fly. A thin strip of Visqueen. Spelling yeah...
But it does the job at those Inns having no covered areas to park yet it does form condensation. But as we roll the next morning, it dosen't have a chance to weep out on the bike. You are overnight into the next day. Sounds like a 21st century fabricorical solution for you.
Or you might think about building a 'shed' for your ride. More on the order of what you see bicycles stable in at subway stations. Little waterproof boxes that your ride just fits into. Nobby built such a shelter for his English steed. Something to consider, if the apt complex allows such a thing.
