She's wearing a ring MADE BY THE GODDESS to hide her identity to give her time to stabilize her soul. Ofc it's gonna work, She's THE goddess and would know how to hide from her husband. It's clear if mc wasn't wearing the ring for a good amount of time, the god could find her location easily. Next time re-read the story dog. The goddess said it herself that she doesn't want to "meet" her husband in mc's body with the mc being clearly too distressed about being chosen.

These gods are stupid cuz if u guys really loved each other and shit ya’ll would’ve been able to sense and know each other w/o the physical traits or the lunar mark. Like yk love triumphs type shi
Gods got weakass love