Funny, I don't see her using the word "right", or any reference to the 1st Amendment. Maybe I missed it. You do understand that censorship doesn't necessarily mean government censorship, right? She isn't saying her 1st Amendment rights were violated by government action. She's saying the paper censored her. They did. They are certainly allowed to do it, but that doesn't change what it is.
Okay enlightened one, explain to me where choice ends and censorship begins. She is not being censored. She can still publish her work whereever she wants assuming there is a market for it. If she cant get any one to publish it, then she can create her own rag or website and publish it herself.