I'm one of those who is allergic to eggs and have to be very careful about vaccines, so you may be putting me at danger too.
Many vaccines have egg protein in them, and so do flu shots. Over the years I have managed to get most vaccines, but it's hard. On paper there are egg-free vaccines and it's easy to google up an article announcing the exciting new development of an egg-free vaccine for xxx. But in real life they are expensive, have short shelf lives, a very limited market, and nobody keeps records about where I might find some. Which means they're pretty much not available outside of a major metropolis, and even then it takes luck and a lot of phone calls.