Not sure about 2011, but with RDC, you can't use the IP address as that is private, and you can't use just the computer name as no server will be able to resolve it. So, you would have to use your domain name with .local or whatever you use so:
on the network, you could type: reception but if connecting remotely:
reception.clinics.local (as Sandeep mentioned)
Also, if you are the domain admin it doesn't matter or the local admin, but you need to make sure you have permission to log into the PC.
In the settings, again put your computer name but Fully Qualified Domain Name, the same as the other. Your username should be
domain_name\username so clinic\yourusername.
Under Advanced tab, you want:
Use these RD Gateway server settings:
Server name: FQDN again: server_name.public_domain_name
so server_name.clinicsfp.com
Logon method: Allow me to select later
Bypass RD Gateway server for local addresses.
Should be all set if this is around version 6.1
