Is she entitled to any of my earnings while deployed?

As long as you're married to her you're under a mutual duty of support. Presumably you're drawing BAH at the married/with dependent rate, so the bare minimum the Air Force expects you to send her is the difference between the married/with dependent rate and the single rate. If your marital status is getting you more money than you're sending her, relax and bank the profit, and don't rock the boat too hard an argument could be made that you should be sending her the whole BAH since presumably you don't have any housing expense of your own while deployed. On the other hand, if she's actually costing you more money than she's gaining you, or for other reasons you're eager to get a divorce or annulment, you don't have to be on the ground in Texas to file and get the 60-day clock turning.