God do I want JK to go down for being an Epstein crony, but from the evidence here this appears to be entirely the fault of Peggy Seigal: well known for being a gatekeeping socialite idiot and good clout-chasing friend of Epstein.
While JK Rowling herself is not a direct participant in this specific email chain, the event was a cornerstone of her franchise's Broadway expansion. The documents do not indicate whether the author was personally aware of the guest list additions made by the production office.
On the morning of 20 April 2018, Peggy Siegal initiated a high-priority request to Colin Callender, the acclaimed producer of the Harry Potter stage play. In her email, Siegal described Epstein as a 'very important friend' who wished to witness the 'spectacle' of the Hogwarts-themed dining room.
Her inclusion is bad on it's own, but it's not quite on the level of "JK invited Epstein to her play" like the title implies, it's "someone on the production staff invited Epstein".