You should get your AOR soon!!! You can risk it by applying online without AOR, so when you get your AOR, you will update your application using the web form and you will be fine. That is if you get your AOR before they reach your BOWP application online.
Another option is to apply via paper, it's going to take about 3 months for them to process your application. This would buy you more than enough time to get your AOR and once you get it, you update it online using web form and your BOWP will be approved.