Facilitators ask for medications and relevant health history to manage safety and plan the session responsibly. Certain prescriptions and personal histories can influence whether and how a guided psychedelic session proceeds, so a brief pre-screen is standard.
If privacy is your main concern, ask whether you can limit identifying details in the intake, for example by using an initial for your last name, and whether they will delete your data after the session if you request it.
Another option is to check if they accept a short note from your own doctor stating they reviewed your situation for participation, so you do not need to share all details directly with the facilitator. For practical tips on sharing less while staying safe, see this short guide.
Hope this clarifies things.