Hello kmacckl,
Thanks for posting in Apple Support Communities. We understand that a particular contact keeps reappearing after being removed from Find My Friends.
Do you have any other devices that you use with Find My? If so, does this continue if you remove this contact using another device? Is there another network to test and if so, does this happen if you connect to another network and remove this contact?
If you've removed this contact using the steps from Add or remove a friend in Find My on iPhone and they still appear in your People list, try blocking this contact. Does the same occur after blocking? You can block or unblock contacts using the guidance from Block phone numbers, contacts, and emails on your iPhone, iPad, or iPod touch.
Have a great day!