You can setup replication using SSL.
With an unencrypted connection between the MySQL client and the server, someone with access to the network could watch all your traffic and look at the data being sent or received, or even change the data while it is in transit between client and server.
When you must move information over a network in a secure fashion, an unencrypted connection is unacceptable. Encryption is the way to make any kind of data unreadable. Encryption algorithms must include security elements to resist many kinds of known attacks such as changing the order of encrypted messages or replaying data twice.
MySQL supports secure (encrypted) connections between clients and the server using the Secure Sockets Layer (SSL) protocol. SSL uses encryption algorithms to ensure that data received over a public network can be trusted. It has mechanisms to detect any data change, loss, or replay. SSL also incorporates algorithms that provide identity verification using the X509 standard.