As someone working in the medical field, if an accurate weight is needed, then stripping is necessary. Your clothes may not have been very heavy, but it just may have been the procedure of the hospital/practice. I wouldn't think there are any ulterior motives behind it, nurses have busy days and can get confused with minor protocols and common sense sometimes, especially if they're new to the job.
As far as taking off the plasters and getting you to stand still? That's the way to do it, we know you're probably capable of taking the plaster off, but to be sure we do it anyway - it's our job.
If she made you feel uncomfortable, it must've been her body language which I can't assess from your message, and to which I'd say that some nurses just are a bit weird with how they handle people. I'd like that to not be the case, but as long as they do a good job in the end, it's not serious.