So I was handed a written warning for my alleged conduct with a colleague. It was claimed that I had sworn during a discussion with a nurse. BTW didn't. The colleague put in a complaint and got her 2 friends that were also there to back up her story. I was put through an investigation and came out with a written warning. Now, a colleague has been seen and heard by senior members of staff (including the deputy manager) to have sworn loudly and clearly and often during an argument with a colleague. Nothing has been brought against her and she has completely gotten away with it.
Am I in any position to show that preferential treatment was shown to my colleague and that I myself should not have been handed a written warning when others have done the exact same thing and gotten away with it?
How would I go about appealing the decision of the written warning?