Quote:His handsome blond hair under his fedora moving with wind of the Israeli desert.This is a sentence fragment. It has no verb. "moving with wind of the Israeli desert" is a present participle phrase which modifies "hair."
If you change "moving" to "moved" or "was moving" you'd have a sentence. "Moved" is better because it's active voice. Avoid passive voice such as "was moving." Better yet would be a more descriptive word than "moved." Flowed, whipped or waved might be better. It depends on what the hair is actually doing. Move doesn't tell us much.