If it will set your mind to rest about any leftover urine in the room you are putting the cat in you could invest in a black light. It will show you if there is any urine deposits any where in the room. You can then use an ammonia free cleaner and clean any areas you find. It may not be cat urine. It may be dog urine that sets her off. But in all likelyhood if you have done a thorough cleaning job since you have moved in you don't have to worry. L4 is right about it being mostly males who "may" spray. They are more territorial.
Sounds like your co worker is not a cat lover.

So many fallacies are perpetrated about cats it's no wonder they have the rep they do.
Definitely a scratching post placed near a bright window so she can enjoy the view is needed. Jim's soft music playing is great too. She may scratch the door frame a little as cats like the feel of wood under their claws but I don't imagine she will do much damage. If you are worried about the carpet in the room put a sheet down over it. I would think the first little while she will probably be hiding under whatever furniture she can get under. It's a normal thing.