The first jumped off the page at me:
"She is involved in The Drunken Canal, a regional print publication based New York City"
This is also bad writing:
“Honor Levy was conflicted about pulling her piece from The Drunken Canal, a regional New York print paper she began last year. She had several short stories published in the New Yorker, but this felt different.”
Regional is a redundant descriptor if New York is included. Just saying "regional" would make the sentence flow better. "Print paper" also doesn't have meaning, it's something the author made up.