Wow, if I need an extractor tool, that's the end for me. Torx wrenches are occasionally needed so having a whole set of them won't kill me. The last place we lived in had a bunch of them on various fittings. Other parts of the bike look to be hex (Allen) which I have in most sizes. I tried them in the bolt, but they aren't the right size and will strip the inside, I think. I'm wondering whether removing just the bolt on the side where it's near the guard, a job in and of itself, will allow the guard to be moved. There is no question, as the other person pointed out on the other board, the chain could come off again, so it may be just as well to get it off and leave it off.
It's disappointing the bike was made this way. What's sad is how little I've actually been able to ride. Murphy's Law: just a s the weather gets nice enough, something breaks on the thing that you wanted to ride, be it a motorcycle or a bike.