Kyle is the Andrew Mellon Artist in Residence at Drew University where she teaches interdisciplinary courses on space and performance, and is on the faculty at Barnard College/Columbia University Theater Department where she is a Senior Thesis advisor, directs student projects, teaches courses in Solo Performance, Collaboration/ Ensemble and Acting, and at Movement Research where she teaches workshops in interdisciplinary modes of composition and performance.

She has taught undergraduate, graduate and pre-professional courses in theater, dance, performance and media at Princeton University, Fordham University Playwriting MFA, Performing Arts Research and Training Studios (P.A.R.T.S.) Brussels Belgium, Sarah Lawrence College MFA Theater program, Antioch College, New York University, The Cooper Union, and workshops in the US / Europe.