Users can only see the Contact Details section and add or edit payment details if they have the respective permissions.
This is how you grant such permissions to a user:
Find your Organisation and open the Users page under Workflows And Settings.
Click on the Permissions field next to a user.
Tick the checkboxes for the permissions you want to grant to this user:
Can view list: allows to see the Contact Details section
Can add: allows to add payment details in the Contact Details section or during Batch Payment creation
Can edit: allows to edit payment details in the Contact Details section
Click on SAVE.