I'm afraid I don't know if you're a gal cyclist or a boy cyclist which would (sadly) influence the thoughts I had on travelling alone. But maybe it doesn't matter.
I would imagine it depends on whether or not you'd travelled alone abroad before, how comfy you are on your own and how confident you are with strangers. I can only really give my own views if it was me. I've thought a lot about if I'd be happy touring on my own and I think that within Western Europe at least, yes, I would be. I also speak French almost fluently, which gives confidence, and I've travelled alone enough in the past. I have basic (very) bike maintenance skills and the wherewithall to get the bike fixed if it broke down. I'm pretty savvy and think I'd be fine. My struggle would be travelling alone for an extended amount of time - for a weekend I know I'd be utterly fine, but night after night of eating alone? And not having someone to shout 'wow' with as an awesome valley opens out before you? I'd be fine, but I think I'd miss company. But it has to be the right company.
So at the end of that long paragraph, I think assuming you're confident in your own abilities to travel alone, do it. Be very careful, and be kind to your parents and text them a couple of times a day, but go for it. I wish I'd done more cycle touring when I was younger, don't miss out!
