Not really sure what there is to do in Aqaba besides a diving/beach tour organized with your hotel. As a western woman you probably don't want to swim in the public beach as you get enough hassle and cat-calls fully dressed up to your neck.
Also there are night clubs but beware they are full of young men drinking. Aqaba is nice and sunny though, good restaurants.
I lived and worked in Aqaba for 5years, I know it well. Aqaba is for relaxing in hotels that have access to the beach (not all do) and for all water sports.
There is little else to do in Aqaba.
Aqaba is a great place. I just wish that in the future, there would be cinema where anybody can watch hollywood english films.
Aqaba is a nice city in Jordan, but have many problems like food, hotels is very expensive, it's clean and small city.
Great SCUBA diving and bustling markets and nightlife. A great mix of water-sports and culture to be experienced.
Biggest dissapointment in long time,dirty city, people unfriendly, dangerous looking, not pleasant at all.