I have a Road ID that I don't wear. I stick it in my bike bag. But I always have my phone in the back pocket of my jersey. All anyone has to do is call one of the top names on my "favorites" page. I think nurses, etc. are used to doing that sort of thing.

I have heard (on this site, I think) that medical people look for contacts on your phone that say ICE ... for "In Case of Emergency". I used to have an ICE1 contact my husband's number and an ICE2 contact with my home number. But then, every time my husband would call me, my phone said ICE1 instead of his name! So, I deleted my ICE numbers.