Welcome!

While each list has a disclaimer stating essentially that the list is a courtesy, not an endorsement... known lists are:
- NAGC, and its state affiliates (The NAGC affiliate for AZ is listed as Arizona Association for Gifted which may have a readily available list of local resources.)
- SENG
- Hoagies gifted education page (link- http://www.hoagiesgifted.org/psychologists.htm)

For example, Hoagies' currently has three parent-recommended psychologists in AZ. This could be a starting point to contact the offices and discuss insurance and appointment availability. To learn more about a particular office or individual you may wish to use a search engine. For example, there may be youtube video interviews, blog posts, etc which may help families assess a comfortable "fit".

The SENG website has an article, Tips for Selecting the Right Counselor or Therapist for Your Child, by Dr. James Webb, posted September 14, 2011.

If I recall, there are also a few professionals specializing in gifted who will communicate via technology to provide online support in certain circumstances.