Medication Administration Question

Hello everyone, I have a little question for fellow students or Nurses.

A student friend of mine works as a PCT in the local hospital. Her patient was requesting something for pain and did not have an order. The patient did however have an order for PRN Tylenol for Fever. The nurse gave the Tylenol to treat the pain, stating "I don't have time to call the Doc right now, and this should work just fine." I am not sure what she wrote down on the MAR as the reason for giving the PRN. My friend asked me if this was a violation of the Right Reason medication rule (or any of the administration rules). We did go over that right briefly, but it wasn't discussed about if you could use something against the Ordered reason, even if it can be used that way. (As of my understanding the rule is more in review of is the medication fixing a problem, like if someone has low blood pressure normally and are prescribed an antihypertensive it is a safety net) Since it is summer I do not have contact with my instructors to ask, we have asked a few students and everyone has dissenting opinions. I feel like this is something we should know, and I am embarrassed that I do not know. I feel like this is similar to giving someone an anxiety med to help them sleep, if they are not anxious. Lastly, I think that the nurse doing it simply because she didn't want to call the Doc IS wrong. I really want to know about if the ordered/given reasons can be different. Thanks for your answers!