You would have received booking confirmation by e-mail on your Airbnb mail - do you have this confirmation? Look in you transaction history accessed via the host menu (house icon), the booking should be in there and payment should state 'pending' if it hasn't been released as yet.
Have you set up an pay-out method as well? This is different to a payment menthod so do check this via your profile menu. Also the payment method you choose will determine how long it takes to receive the money - click on link for guide - https://www.airbnb.co.uk/help/article/425/when-do-i-get-paid
If all above is in order, then perhaps contact Airbnb via Twitter or Facebook(quickest response), they have access to your account so will be in a better position to asnwer you queries.
Wish you all the best, Ama