Um, pray you pull in on time, and run like the wind. If you're 10 minutes late, you won't make it. A and E are far apart, connected by an underground train outside security. I don't know if there's an airside transfer bus that could save you from having to pass through security again at E, but if not that sounds extremely challenging to me. Chances are the GAs closing out your IAH-SAL will pay no attention to your girlfriend if it's go time.
Here are maps of IAH showing the distance between A and E... as you scroll down the underground train route is indicated by the horizontal red lines.
http://www.ifly.com/george-bush-inte...t/terminal-map