Can we personalise the domain display name when synchronising with multiple domains?

We're using ADSelfService Plus to synchronise passwords between two Active Directory domains. Not all of our users have accounts in both domains so I'd like them to be able to select which accounts they update their password for. I'm concerned that the majority of our users will not know about this second domain so the name displayed in the "Select Accounts" dropdown won't mean anything to them and will cause more support calls than we're saving. Can we change how this list is displayed, i.e. have a friendly display name show instead of the domains FQDN (e.g. test.com shown below)?