Watch the Man, That Hurts online guitar lesson by Jeff McErlain from Soloing the Changes
The basic changes in "It Hurts Me Too" are D-D7-G-A. These are the changes Elmore and Clapton used, and are pretty straight forward. To begin soloing, the Dm blues scale works great on the whole thing. So, mess with that first, then mess with D major pentatonic, then mess with mixing them up. "Mess" is a musical term, look it up. This will sound great and very traditional, but, there is more if you want to dig deeper.
The track I provided doesn't have any chords, just the roots of each of the chords. I didn't provide the harmony on purpose as I wanted to leave it up to us as the soloist to provide that harmony. If you were playing with other guys in the band, be sure they know what your plans are as this could easily lead to a train wreck! The changes I discussed in the attached video can be heard on Tampa Red's classic version of this song, so please be sure to listen to that.