It might be quite difficult. That looks like an error message; it may simply be written to standard error, in which case, running this should suppress the error messages:
output=`yum check-update 2>/dev/null`
However, if the authors are determined that their message should get through, they may use /dev/tty instead of /dev/stderr for the output, in which case you have to detach your process from the terminal. Or they may be inventive and use another technique to blast the message to you.
On the whole, if the redirection of standard error doesn't suffice, the easiest thing may be to sign-up with RHN Classic or RHN Satellite. However, I'm not really aware of what that entails, so there could well be reasons not to do it.