If this happens contact the dating provider immediately to not only protect yourself but other users too.
You should check if the dating site you are using is a member of the Online Dating Association (ODA).
Membership means that the site has to commit to an industry code of practice that includes honest communication with users, protecting their privacy and providing a mechanism for reporting abuse.
They cannot do a criminal records check on every user.
And a person can become a problem without having a record.
If and when you do decide to share an e-mail address think about creating a separate and anonymous email address.