How often and how long would female intel officers deploy in the navy?

Same as everyone else. 6-8 month deployments about every 18 months. Deployments of 1-2 months between major deployments. About 50% of your contract you are at sea if you draw sea duty. Otherwise, a 1-2 year assignment to the middle east in Bahrain, Qatar or similar. Intel is at the pointy end of the spear. Don't plan on eating any bacon cheeseburgers for a while.