for me --
row crops (corn, cotton, soybeans, wheat..etc) = farm
livestock "not confined" (cows/horses in pasture) = ranch
chicken/hog/turkey houses..etc -- people usually use farm
Our insurance company classified us as having a farm so we got farm insurance. I guess I never thought of it as a "horse farm" lol
Insurance classification is a bit different ... my bet is that you are a "hobby farm" in their opinion, unless your main source of income is the farm/ranch then it would be a bit different with classifications ...
IMO - I think it depends on what part of the country you are in too. I grew up on a full section of ground in SW Washington that is a working sheep ranch by all intents and purposes. However, we always called it a farm. Out here in the midwest, it would be classified as a ranch because it was a self sustaining sheep production operation of seed stock and terminal lambs for restaurants.
Heck, call it whatever you want and roll with it girl!