I recently got a small rash on my hand, and I thought nothing of it. When I mentioned this to my friend, they told me that completely ignoring it (and by extension my own health) is irresponsible and selfish.

They gave the example that if I had fallen over and hit my head, I could have a concussion. If I ignored the potential concussion and continue to go to work, I now make my health someone else's problem if I passed out at work. That could then cause distress to my co-workers and any first responders.

To then take that example to the extreme, if I was injured when I was guiding a trip in the wilderness, ignored it, and then it got worse, I would then be putting all of the participants in danger and wasting the resources of search and rescue.

I think my friend is right to an extent: In a wilderness environment, where I am guiding a trip, the participants are relying on me being able to guide, and thus in good health.
However when I am in an urban environment the potential impact of the risk is a lot lower.

I don't know where you would draw the line with this argument.

Am I irresponsible for taking risks with my own health?