Hey CDJ,
It looks a little confusing because there are two axis of trouble here.
Firstly mate, I would highly recommend cleaning the hairspring, as all the dirty is not going to help you isolate the exact points of contact you'll need to make. It is blurring the silhouette of the coils ... much like military camo breaks up the outline of an object.
I would recommend the Y-Axis first. Get the collet back to level with the coils, then you'll have a much better idea of pin-pointing the X-Axis correction/s, and the amount of X-Axis correction needed.
I've marked the point I consider to the be manipulation point for the Y-Axis correction to the collet.
Next look at the coils, and you'll see they are uniform (orange lines) until they reach the 4 o'clock mark, and then the uniformity ends. Now this point may change once you get the collet back in correct alignment, but hopefully you can get the gist what I'm getting at. Gentle stroking inwards from this point and watch for the uniformity to regain after each stroke.
Also there is wisdom in hearing others advise and opinions ... if there is no rush on the fix, wait for others to chime in, and perhaps critique my assessment as well.