Recruiting & feeling out of place

So my husband is a recruiter & he was told he just needed to sign paperwork for a future soldier.. instead he’s being her “personal trainer”. Everyone knows he’s married but after asking him many questions he says it’s not mandatory but he still wants to work out with her because it’s a chance to have a workout partner. After having our first baby we told each other we would always be our only workout partners otherwise we will workout alone. Is it wrong for me to be very upset about the situation? He is suppose to sign paperwork but instead waking up at 6am to work out with this future soldier female. Yet they always do future soldier or once a week..