Running network cable near X-Ray equipment
No, you do not need to do anything special. We have X-ray generators and Digital Imaging devices everywhere at my place of work, we run cable around them, in front of them sometimes(tie comes loose) and all around them. We have never had issues.

Other forms of radiation can have very negative affects on materials and electronics, but on ethernet cable we do not see negative affects from these either.

X-Rays are not that terrible, it is just not a good idea to get a dose from them repeatedly throughout the day. This is why the therapist is placed behind a bit of lead.