If you can wait a bit for your scores to improve I would, with a lower income a higher score will improve your chances. 12 months age will also help. One thing to be cautious of with only $6K income and applying for credit is other obligations, and one's ability to utilize more than one CC effectively. The Lender will be aware of how much you can spend with them versus other CC's on file, so you don't want to add too many too soon. And definitely not a product with an AF such as Gold. IMO
While Amex has branched out to all profiles, they still prefer big spenders.