The whole "360 degree evaluations" are becoming a thing everywhere nowadays, though at least in terms of resident education I have a hard time getting worked up about them. No PD who knows his job is going to care much about a single complaint from a rando nurse, certainly not enough to "lose your spot" as
@rokshana said. However, if you're the type to be collecting repeated bad evaluations from nursing, even in settings like your typical urban VA, something's up and probably requires some examination. As a resident, you should probably worry more about passive-aggressive retaliation than some complaint to your PD.
That's not to say there aren't problems. One of our inpatient attendings got written up by one of our senior nurses last month and it was a "you've got to be f-cking kidding me" type of thing where he had to deal with the fallout to supervisors when he was clearly in the right.