What do you call a person ridding horse in the woods?

There isn't one specific term for someone riding a horse in the woods. You could use several options depending on the context:

General:

* Horseback rider

* Equestrian

* Rider

* Horsewoman/Horseman

More specific:

* Trail rider (if they are on a designated trail)

* Woods rider (if they are riding off-trail)

* Hunter (if they are hunting while riding)

* Woodsman/Woodswoman (if they are skilled at navigating and surviving in the woods)

You could also use descriptive phrases like:

* Someone riding through the woods

* A person on horseback in the forest

The best term will depend on the specific situation and the level of detail you want to convey.