Hi Caress-22,
Thanks for posting in Apple Support Communities. When you share your location with someone in Find My, they will be able to see the contact card for you on their device. So, if they have your Apple ID, it will appear there. The following is from Find people and share your location with Find My.
"Other things you can do
When you open the Find My app, select the People tab, then choose the name of a person. You can:
- See that person's contact card.
- Select Directions to navigate to the person's location in Maps.
- Choose Notifications to see when a person's location changes or to notify people that your location has changed.
- Add the person to Favorites or remove them. Members of Family Sharing can't be removed from Favorites.
- Select Edit Location Name to label their location."
All the best.