How long does it take for our marriage certificate to be processed in AIt ? Will I be in his orders ?

Hello , my spouse just joined the army and he took a proof of marriage but not the actual certificate, they want the actual certificate so I gave it to his recruiter he uploaded it on his file but he said my spouse has to as his drill sergeant for permission to go to get that fixed , but my spouse said he was told he can’t and had to wait for AIT , I sent him the original certificate through the mail because his recruiter told me to hoping if he tell him he has it with him they send him to get it done but my spouse thinks even like that he won’t be able to , how long does the process take if he waits for AIt will I still be in his orders ? It’s so confusing.