Based on the title, I recommend addressing your security and special female needs. The other aspects (e.g., water, etc.) are not unique to being a single woman, and can be found in numerous other threads.
Do folks plan for Katrina/Ike type of situations first, or more of security and safety in case of civil unrest?
I don't see these two things as being mutually exclusive. As for security, that's a full time thing for me. Security won't suddenly kick-in once there's a natural disaster. A security mindset is one that I always have, even without there being a SHTF situation.