Richard, several things might help, although you might be near the best this combination can do at the 100% crop level.
First of all I see by the limited EXIF data that you were shooting at 1/400 sec and f/6.3, the ISO being 640. I'm going to make the assumption that the lens had IS and you had it on so I think the first thing to try would be to move the ISO to about 1600. That will enable you to get your shutter speed up to 1/1000 and camera motion will be far less of a factor. Try to get a combination that maintains the aperture at f/6.3 minimum, perhaps f/8 as long as that shutter speed is up.
Next thing, the focus point works on points of significantly differing contrast. The fact that you had a red light indicates focus was acquired but there isn't huge amounts of contrast in the red area of the tail. Also, there is some basis to use the center focus point, lock on that and then recompose, although that should not be much of an issue on a telephoto zoom. If you get another opportunity focus on the area of the feet where they meet the edge of the feeder. There is a bit more contrast there so maybe the lens can lock in an improved focus. The balance of the bird should be well within a good depth of field and totally be in focus. At f/5.6, 250mm and assuming a subject distance of about 5 meters (roughly 16 feet) the depth of field is 0.085 meter or 3.3 inches. As you can see if you focus on the feet, 3.3 inches will catch the whole bird except for the tip of the tail. If you can get the aperture up to f/8, again at 5 meters subject distance and 250mm, then your depth of field goes to 0.122 meter or 4.8 inches. Even better!
Go here for a good depth of field calculator...http://www.cambridgeincolour.com/tutorials/depth-of-field.htm
. Scroll down for the calculator; in the camera type box select "digital SLR with CF of 1.6X" for the T2i. The 1.6 CF means that the effective field of view is 1.6 that anticipated by the same focal length on a full frame camera. In your case, the 250mm you used is effectively the field of view of a 400mm lens on a full frame body or what we would have seen in the old days with a 400mm lens on 35mm film type cameras.