Communication between peers

Hi Guys, hope every one's placement is going well so far. I'm doing a neuro placement at the moment. During the first week I witnessed a conversation that made me very uncomfortable. I was treating my patient and a junior doctor walked over to discuss an appropriate time for an injection for one of his joints. While this was happening my supervisor walked over to have a word with this Dr. I tried not to pay to close attention to what was said given it wasn't involving me and I still had my patient with me.

The gist of things was that my supervisor had sent this Dr a four page page regarding another patient. The supervisors point was something along the lines of waiting for a response and treatment for that patient. The Dr's side was something along the lines of finding it very derogatory for someone to send him a four page page and that he didn't need to be reminded and he would get to the patient when able. There was also a fairly big argument over whether the patient in question had already been performed. This was all conducted within 1 foot of me and therefore my patient.

I felt that the whole conversation was unprofessional because it was conducted in front of all the patients receiving treatment at the time, especially my patient. Luckily my patient is a very happy go lucky sort of person so it seemed to have no impact on him. However there are several patients who can get quite emotional at the best of times. My supervisor is very important to them so seeing this argument could well have upset them. I actually found it disturbing because there seemed to be a fair bit of animosity between them and I also felt very uncomfortable sitting there with my patient while they talked over me.

Eventually I just started treating and talking to my patient while they continued talking. I'm not sure if that was the right thing to do or whether I should have done anything differently. If anyone has been in this position or has any advice I would appreciate it.
Thanks, Anna