There probably hasn't been enough time. Alabama is one of the slow states; it can take up to 8-10 weeks. But here are some things you can check:
First, you need to be sure your state return was successfully filed. If you efiled, be sure your efiled state return was accepted. If you used Online TurboTax, you can check by looking at the Tax Home in your Online account.
Or did you choose to file by mail instead? TurboTax does not mail it for you. If you chose that method, you have to print, sign, date, and mail it.
The FAQ below tells how to check on your state refund.
FAQ: How do I track my Alabama state refund?
https://ttlc.intuit.com/oicms/L8e1qXJav_US_en_US
After checking all of the above, if your processing is taking longer than the usual time frame for your state, you can phone your state department of revenue's customer service to see if they can tell you the reason for the delay.
FAQ: How do I contact my state's department of revenue?
https://ttlc.intuit.com/turbotax-support/en-us/help-article/state-taxes/contact-state-department-rev...
