The due process is when the Dems ask the FBI to vet her and those associated with her accusation before anyone can make a decision (this means the R's allow for the process to take place prior to the vote) on belief is probably a good idea where the Duke sports team and accuser didn't get much vetting before they were dragged down and vilified on a national stage.
This way, congress can have a clear mind in their votes to seat or not seat Kavanaugh.