Falsely Accused

Have you been accused of something you didn't do?
I have, and it is so upsetting! I am a carer and the lady I look after has accused me of using her television and mucking up all the channels on her tv.
She hasn't been diagnosed with dementia but she is 88 years old and maybe having memory issues! She emailed my supervisor and expressed her concerns. My supervisor has emailed me and told me to cut it out.So upset and pissed off and dwelling over it!!!