As someone who has been using the MicroSoft Terminal Server product for years now this name could carry some value. Terminal Server is however a generic term for like computing so I dont think TM issues should be a problem as long as you don't make it one.
Assuming there is no TM issue, terminal server fits .com or .net. The name is too technical and doesn’t have much value in a ccTLD extension, worth low-mid $xx undeveloped.