Add a step into the job which uses WAITFOR TIME command to delay the sending of the mail. Then execute a msdb.dbo.sp_send_dbmail command with the mail you want to send.

I would do two, one for success one for failure, then set the main job step to go to the right mail step depending on its outcome.

So

Step1 - Run my procedure, on success go to step2, on failure go to step3

Step2 - WAITFOR TIME '07:30' send success mail, on success quit reporting success, on failure quit reporting failure

Step3 - WAITFOR TIME '07:30' send failure email, on success quit reporting failure, on failure quit reporting failure