To those who have doubts as to whether
Touhou Project can actually be beaten or not, have this as proof:

(This screenshot is from my first time beating my first
Touhou game, so please excuse my use of the Easy and Slow modes.)
I suppose what I'm trying to say is that although the game may seem really difficult, there are easier modes that can be beaten with relative ease once you actually get the hang of things. Of course, after that you can move onto more difficult modes for a greater challenge.
Y'know, we should totally have a
Touhou session sometime...
(I left all my Touhou games behind in London; really need to order some more.

)