The only thing Tower could have done differently would have been to send her packing much sooner to one of the many smaller airports in the Houston metro area. He was wayyy too accommodating. Devoting a good portion of his attention to dealing with her for 20 minutes had the potential to create other hazards.

It's not Tower's job to hand hold a minimally experienced private pilot attempting to land in challenging conditions mixed in with jet airliner traffic.

If she needed a long base to a 3-4 mile final then she needed to ask for that. However, flying into a busy class-B airport and then expecting ATC to let you fly like you're back at your uncontrolled Unicom airport is a bit unrealistic. Can't hurt to ask - then ATC could have:
1 - Issued holding instructions so he could find a hole in arrivals if possible
2 - Denied the request