This pilot study will investigate the efficacy and safety of the Brainsway H-coil deep brain rTMS in the treatment of patients with treatment resistant anorexia nervosa (TrAN). The general objective of this study is to investigate the neurological pathways implicated in AN using Hcoil deep rTMS. The specific goal is to test the safety and tolerability of repeated H-coil TMS as a potential treatment for TrAN. Also, if the safety and tolerability of deep H-coil rTMS stimulation is demonstrated in this study, this modality may be useful as a potential treatment strategy for individuals with AN. If both efficacy and safety are demonstrated, then a properly designed randomized controlled trial with deep H-coil rTMS compared to sham rTMS treatment will be implemented to investigate the possible therapeutic effects of H-Coil deep rTMS stimulation.