If Connector/ODBC is connecting securely with the MySQL server and the application using the connection makes calls itself to an OpenSSL library, the application might then fail, as two copies of the OpenSSL library will then be in use. Possible workarounds to the issue include:
Disable SSL by setting the option SSLMODE to DISABLED for Connector/ODBC, if that satisfies the security requirement for your application.
Use a build of Connector/ODBC that links (statically or dynamically) to a version of the
libmysqlclientlibrary that is in turn dynamically linked to the same OpenSSL library that the application calls.