From one of the spouse profiles, scroll down to the Online Gift/Payment Visibility section
Click Edit Visibility
Click the red Delete button to the right hand side
Click Save & I’m Done
On the next screen, click the Details for Spouse Name button
Scroll down to the Online Gift/Payment Visibility section
Click Edit Visibility
Click the red Delete button to the right hand side
Click Save & I’m Done
Please Note: You will also want to edit one of the profiles, scroll down to the Relationships section, and remove the Marriage relationship. Make sure to save the changes. If you don't remove that relationship, the visibility permissions will return.