The Mayo Clinic Scottsdale is a scleroderma center, and most of us would say that larger centers are well worth the wait, if there's no urgent problem. It is very common to encounter three to six months waits for a first rheumatology appointment in most parts of the U.S. for noncritical cases. In the meantime, you just seek all the usual care from your normal providers to manage symptoms, and as scleroderma is often managed by only treating symptoms as they arise, you likely are not missing out on much -- particularly since it is an average of six years from onset to diagnosis for women in the U.S. (and three for men with the same symptoms).
I know how hard it is to wait, but at the Mayo you are very likely to get a really thorough evaluation so you'll feel confident about your care going forward. But of course we will support whatever decision you make, and wherever you end up!