Also, what if she decides to go see what she can chew on while she waits for you to wake up and let her outside to pee.
Oh, there are so many reasons I can think of not to let her free at night, and my Jenny is a pretty good basenji when compared to the descriptions of "typical". Lola is obviously comfortable with the crate, and trying to figure out how to manipulate you ("shaped your behavior" in clicker training lingo) into not crating or leaving her.
@Quercus:
I think she is just going thru an adjustment period. The most important part is to never let her out of her crate, or pay attention to her when she is screaming in her crate.
It is a good sign that she is fussing when you leave, it means that she is bonding with you, and doesn't want you to leave. Keep in mind that it probably wasn't her choice to leave her last family…and she may have some separation anxiety because she is wondering where they went. But no matter how heart wrenching that is, you have to be firm on the rules of no attention when fussing, and not baby her. She will get used to your routine soon.
Tell your co workers that all that noise is normal 🙂 I feel your pain! Hang in there!
IF you break down and let her out while fussing, you will be reinforcing the fussing behavior. Also you will be strengthening the behavior, thus making it more difficult to extinguish or change. AND if you wait longer and longer (and while the fussing escalates) before breaking down and giving in, you WILL increase the intensity of the fussing.
Be strong, breathe deep, use earplugs if necessary, and RELAX. It helps to be cool and aloof about the situation.