When you send someone an email, more likely than not, you intend the email to be for the recipient alone. You don't routinely add language: "do not forward this email; for your eyes only." You send the email - the privacy aspect is, we all believe, understood.
Professional chaplains are among the few caregivers in the hospital who have the time to sit and listen to the patient and family members. We listen without an agenda and work to support the patient and family members in whatever ways we can.