The T2I is great, and with any DSLR you really can't go too wrong there.
What you really want to focus on are your lenses and composition. That's what's going to make this DSLR either just another camera, or your new best friend.
I highly recommend you get some older Lenses if you're on a tight budget and buy an adapter so you can get some really great primes. Mostly stay away from Zoom lenses as they don't have as clear of a picture as a prime lens gives you.
A 50mm f/1.8 is a good place to start at.
As for the Rode NTG-2 - it's an awesome microphone, but getting a Zoom H4N or other external audio capturing device is also a must. The audio the T2I records, even with a shotgun mic attached, is horrible, and it'll make your films suffer. But if you're on an absolutely tight budget and can't get an external, than hacking your T2I with Magic Lantern is an absolute must so you can turn off the AGC on the camera.