You can modify a team member's publicity to control what actions the team sees. There are four levels of publicity:
Public Gifts & Nominations (PGN) - the team can see when this member sends a gift and when they make a nomination.
Public Gifts (PG) - the team can see when this member sends a gift, but not any nominations they make.
Public Nominations (PN) - the team can see nominations made by this member, but not when they send gifts.
Private (Off) - the team cannot see this members activity.
To set Member Public Settings, navigate to Teams > [Select Team] > Member Settings > Public > [Choose Option] > Save Changes