This is a community board. Generally we can give advise and guidance. However this board is not a "bank email" type thing and since your question refers to a specific offer on a specific account, no one here will be able to answer. It is possible if someone got the same offer they can tell you how long it took for them. However, to get a real answer, you probably need to call the bank customer service line.
Thank you for your inquiry into the $300 offer for a new checking account with direct deposits. All members who qualify for the $300 bonus will receive the deposit no later than 09/30/2015. If you have not received the deposit by this date, please contact us at 1-800-531-8722. Thanks!