You may prevent a person from contacting on BBWCupid dating you in three different ways.
To stop receiving any further messages from them once they've sent you one, just click the block symbol.
Select their profile, then select the block icon.
Selecting the "block user" option when you click the three dots in the instant messaging system may prevent them from sending you messages.
Click the block list link on your profile to view the people you've blocked.