I'm fourteen, and I'm in a similar situation, although worse at programming. All I know is web, and some low level. Neither very well. The best thing I've made is probably a fancy pastebin (for plain text) in Sinatra.
Here's my advice (question later):
From the part about fearing that your ideas suck, you should ask someone and see what others think of it. They probably aren't that bad. You need confidence within reason.
With web programming, don't start with Django. Sinatra is good for practicing and getting used to moving data, so I would recommend web.py (the equivalent for Python), just because it's like Sinatra (disclaimer: I've never used web.py).
I got confused by SQL and SQLAlchemy. I like MongoDB better. It's easier, in my opinion.
Once you want to do something complicated, beyond a pastebin, then move to Django.
Learn CSS and design and something like Illustrator (logos, background images). I used to open up Firebug/Inspector, select something from a web page, and see what came up. Then I tried to duplicate it. Probably not the best way though...
Here's my question (to everyone, not just you):
What should I do to make the most out of my time?
I have the opposite feeling with algorithms and data structures. They feel like a waste of time when I could be making something, but that's just my delusion probably.
We can continue this over email.
Edit: don't stress over learning something that takes too much time. There's no rush. Also, web programming is useful because you could provide a service/subscription. That is, you make a mobile app which works with a web site/central server.
Some advice on turning this into a career: learning CSS and HTML is very useful, but there's (relatively) lots of jobs where you can program services for the backend and work with a frontend guy who's doing the design work and the user interface. Often for this sort of job though, the people hiring will ask you algorithm and data structure questions.
The other path you can take is really studying graphic design for a bit to train your artistic eye - if you can make pretty nice looking websites, and code up the backend to make them do interesting stuff, you're in a great position to go freelance / solo and build an app on the side.