I was weary of running this for fear of breaking things. I ran the upgrade and it worked, but now I can't restart the SSH Daemon via the WHM. SSH is still running, but I don't want to try restarting it via shell in case it breaks my SSH access altogether.Try the suggestions in the output from YUM; for example:
yum upgrade --skip-broken
Restarting SSH Daemon Waiting for sshd to restart....finished. sshd (/usr/sbin/sshd) running as root with PID 8498 (pidfile check method) sshd: [ != SSH] sshd has failed, please contact the sysadmin.