Ensure that you are linking an Individual record with The Raiser's Edge, rather than a Household record: 

The name at the top of the ResearchPoint record should say one person's full name, such as "John Q. Doe."  If it says just the family name, "Doe," or both spouses, "Jane and John Doe," you are using the Household record. 

You will need to unlink the Household record before you will be able to link the individual.

Review "What fields integrate between ResearchPoint and The Raiser's Edge" (BB709167) for a list of what fields integrate between ResearchPoint and The Raiser's Edge

To ensure your fields are configured correctly, please visit "Configure fields to integrate"

Note: Only confirmed information will sync from ResearchPoint to The Raiser's Edge.