The TV star said that she accepted she would always face criticism for her career choice "until the day I die", but argued that high-profile acts such as Brown should be able to appreciate that she is good at what she does.
"I don't know what he calls himself. He's a magician or something. That's his bag and he has to try and do that," Morgan told Digital Spy. "Derren Brown is not a spiritual person and the work I do has a big spiritual side. I totally understand why he would poo poo it.
"But we are really lucky we have freedom of speech in this country and that's brilliant. I think Derren is fantastic at what he does. The fact he can't say I'm fantastic at what I'm dong, I find that very sad.
"I am good at what I do - I'm at the pinnacle. I work very hard and I just feel sorry for people who feel the need to put down other people to feel that what they do outshines another person."
She added: "There is a section of the community that go under the guise of being a sceptic, but they are just plain rude and ignorant and not very nice people. To those people, I would say prove to me there isn't a spirit world. Not only do that, but then show me what I'm doing, because I don't know. Tell me what I'm doing then. That's what I say to them."
Sally Morgan's latest series will feature celebrity guests Mark Wright & Lauren Goodger, Alesha Dixon and Sinitta having mini-readings about their futures.
Psychic Sally: On The Road starts tonight at 8pm on Sky Living.
Watch a clip of Psychic Sally: On The Road below: