I am suffering from Peyronie’s disease, or at least that is what I suspect.

I know I need to see a doctor, but I lack public transportation and I do not have a license. I live with a relative, and they could take me, but I have no idea how I could begin to explain the situation without it being awkward.

Right now, my case doesn’t seem too serious as there is a slight bend, but I still want to know what I can do about it.

I don’t want to go into too much detail as Peyronie’s is NSFW as it’s an issue affecting guys.

What do you suggest?

If you really are worried about this, you could try asking your relative to give you a ride to the doctor but without precisely explaining the reason why. You can stay vague or tell them that it's a personal matter that you'd prefer not to discuss with them.
IMO, you should keep an eye on any changes for now, and decide on a proper course of action later on. The symptoms of Peyronie's disease are a significant bend, scar tissue and pain in the... area during certain "events". The symptoms can appear gradually, which is why you should keep an eye out on any changes. From what I understand, you should be able to feel the build-up of scar tissue under the skin (in the vicinity of the bend).
Don't stress over it though, chances of getting Peyronie's disease increases with age (usually appears in men that are 55 or above) and since you don't have a license I'm pretty sure you're not close to being 55, and thus, most likely don't have Peyronie's disease. :)
Like I said at the beginning, don't feel ashamed to ask to see a doctor. I'm sure your doctor won't mind any questions you might want to ask.

Thank you.

Right now, it is just a slight bend. I’m not sexually active at all, though I do “other activities”, and I can go into detail you want, but there is a NSFW warning.

I’m going to be 22 in a month, so I might be a bit young to have it.