A board game night would be considered part of the "fellowship" of the group, as would, oh, a Thanksgiving potluck.
BDSM refers to sexual practices. Why would any chaplain of any denomination consider student enhancing/educatings students on sexual practices part of the job description? And has this chaplain had specific training? From a 2017 article, and the bolding is mine:
Though individual programs vary in delivery style and content, both approaches typically follow similar formats such as small groups and classroom workshops, or large group presentation formats. Programs usually involve interactive activities such as group discussions, role play scenarios, worksheets, or interactive videos (e.g., Amar et al., 2015; Fenton & Mott, 2018). These programs may occur as a single session or over multiple sessions, and are often delivered by
specific program facilitators which include program staff members and student volunteers who receive instructional training (e.g., Amar et al., 2015). The large presentation style programs generally occur as a single session, and are more didactic in style with fewer opportunities for participant interaction (e.g., Borsky et al., 2018; Reid et al., 2013).
https://journals.sagepub.com/doi/10.1177/15248380211036058
I really don't see how you can compare a board-game night to a workshop on BDSM.