Was the phone call recorded? Because if not, it's your word against a room full of techs, who are higher in the pecking order than a resident physician.
The whole "the physician is king" mindset in healthcare died long ago. As others have said, pick your battles very carefully. Remember that you may be going up against someone who has zero motivation to report events accurately, who can (and likely will) recruit coworkers as false witnesses, and for whom this is literally "just a job," the same job as they could start tomorrow at another hospital down the street. The hospital cares way more about keeping their few dozen CT/MRI techs happy than soothing the ego of one of their hundreds of residents.
If you have a serious problem with someone that affects patient care, go to their supervisor, with the understanding that if you directly confront a non-physician, it is likely YOU that will get in trouble. If they're just rude to you, take it in stride. Ultimately we're all cogs in one machine and there's less strain if we all rotate the same way.
Finally: the techs are just regular people with stressful jobs, and spend their days dealing with people yelling at them that their patient's scan is more important than any other scans on the schedule. I'm not saying this is what happened in any way in your situation, but you catch way more flies with honey than vinegar if you want things done in the hospital.