It certainly is painful, I shattered the large toe/joint when I was younger, then broke it again about 3 years later while on vacation in Mexico. Doc said you'll have arthritis in that toe when you get old, well its been 28 years now and I cannot recall which toe it was LOL ! I guess that is a good thing, but he was right about arthritis, just the wrong place, both ankles, particularly the left one right now.
The medical professionals don't seem to do much for toe injuries, but you may want to look into it, and the care of this injury, ones feet are delicate and the pond effect can happen, causing other problems, while the doctor may or may not be limited in what can be done, you would benefit from having it looked at.
Like Jay, I've had horses step on my feet before, there is nothing like a big ole fat mare with a sagging belly stepping on your foot ! Last time that happened, it eventually turned into a really miserable affair for me, and while there may have been one other incident that possibly contributed, it ended up evolving into a form of a ganglion cyst, that turned into a mass about the size of a 3/8" fuel line that spanned the top of my foot from the left to the right. It was well entrenched somewhere below on each end. The top of ones foot is a complicated component, and when you get something like this tangled into the nerves, tendons and whatever else, for me, it just about drove me nuts. I could not be on my feet very long, my whole leg was screwed up with pain and discomfort, darned health insurance plan delayed resolution for 6 months. It was then discovered that varicose veins were also playing a role in that leg, 2 surgeries and years of recovery for my leg to feel normal again. The doctor/surgeon did a fantastic job, as there was a concern this mass would come back, it has not, he got it out from the roots, cleaned the ankle joint of degenerated bone matter, and said all of it was from arthritis, even the mass ! Now I am humbled by arthritis in the left ankle, can't win LOL !
The composite safety toe is fine in cold weather, a brisk walk will warm up my feet for most if not all of the day if I keep busy. I just find that using care to avoid dropping anything on my feet is reinforced by the above, extremely important as it just can't happen again, so I am very careful and have even considered expensive boots with metatarsal guards as well.