The upcoming Searchlight Pictures film stars Timothée Chalamet as Dylan.
"She's had a wonderful career, and I think right now is about making her feel as safe as possible to tell her story," Taylor said of playing the icon.
The pop star appeared to clap back at Millie Bobby Brown saying she wanted to "tell her story" in a movie.
Weird: The Al Yankovic Story, starring Daniel Radcliffe, is out on Nov. 4.
