Well you would need your own server to have an RDP Account..
There isn't a such thing as like.. a shared Terminal Server?
And on Windows shared hosting you don't get RDP access. So only resort is to have your own virtual machine/dedicated server, etc.
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There are Windows VPS available but those doesn't (normally) come cheap. And you certainly don't get a "high speed connection" because it would either be shared bandwidth or shared I/O. A Windows VPS that is likely to meet your requirement would most likely exceed the price of the Leaseweb server I quoted