Hi there, I've found that when I'm anxious I can get dizzy and feel very weird, medication can also cause these feelings along with lack of sleep, dehydration or even needing glasses. Inner ear problems can also cause dizziness so it would be worthwhile seeing the doctor and perhaps an ENT specialist. I had a condition years ago called labyrinthitis which affects your inner ear- swishing noises, dizzy, feeling off balance and really tired. Unfortunately the vertigo attacks I had with the condition would trigger panic attacks and now I have real fear of feeling dizzy.
Anyway, it could be your anxiety or something unrelated so it's def worth seeing your doctor and getting it checked out.