I find it a little peculiar that a psychiatrist would be so shy about stimulant medications for ADHD. Yes, they can increase anxiety, mostly at too high a dose, which you want to avoid anyway. BUT, as the comment above outlines, they sometimes improve the anxiety when it’s caused (or worsened) by untreated ADHD.
Remember, ADHD medications rarely work perfectly on the first try.
ADDitude Community Moderator, Author & Mentor on Parenting ADHD, Mom to teen w/ ADHD, LDs, and autism