Hello, Welcome to OSM. Looks like you have a new account, so I'll give you some info on the OSM project. If a feature actually exists on the ground should not be removed from OSM, regardless if it's private or public, designated or informal/illegal/unauthorized. Please don't remove valid data from OpenStreetMap.

I cannot tell if this trail actually exists or not. But I wanted to give you this information anyway for your future edits.

The correct way to handle unauthorized trails that do still exist on the ground is the tagging system. "access=no", "or access=private". Once this is done, services that do use OSM data will reflect that and specify their access.

More info about it here: 
https://wiki.openstreetmap.org/wiki/Why_can%27t_I_delete_this_trail%3F

https://wiki.openstreetmap.org/wiki/Why_we_won't_delete_roads_on_private_property

Thanks