My 4 yr old will usually wake up due to the alarm and he cant fall back to sleep anymore. I talked to my husband about it and now he put his alarm under his pillow. When the alarm ring in the morning, it's not as loud as before but yet my husband is able to hear it.
My son will still occasionally be disturbed by it but not as bad as before. You can ask your hubby to try out to see if it can work for you.