In Canada, we wear steel-toe, steel-shank safety boots, and we're kind of required to keep them on. We surely give them a good clunk to get rid of mud or snow, particularly in the winter, and we try to wipe our feet as much as possible when it's not a dire emergency, but you called 911, so... your floor is going to get dirty. Might already have blood on it anyways.
Same, even in countries I live/lived where not taking off shoes indoors is borderline a social crime, paramedics, emergency services and even craftspeople/tradespeople would typically not take off their shoes when entering your home.
Personally I got so tired of it we got those "one-use blue shoe covers" that we tell them to wear before going in, but of course I don't think either of us would think about that if we called for emergency services.