We recently adopted a husky mix (probably husky/border collie). She is about four months old.

While taking her to the vet for a skin work up (she was diagnosed with demodectic mange), the vet pointed out that she has an inverted vulva, which can make her prone to UTI and other infections. She sometimes has mild discharge. The vet said surgery can be done to correct it but we have done some reading online that suggests allowing her to go into heat first can result in the vulva inversion correcting itself. We were considering asking them to fix the vulva while spaying her in a couple of months, but now aren't sure what to do. We don't want to subject her to any unnecessary surgical treatments as she has already had many traumatic life experiences already and at present has a weakened immune system. Thoughts?!

Yes, waiting until the first heat can help get rid of an inverted vulva. I would personally wait until after her first heat to see if it gets better and then have her spayed. While it might not make the problem go away completely, it may help a lot.