There's no question here. But I'll guess you want to know if a Citrix system could match your current run of the mill i7 based PC. In your test, no it didn't fare well but we don't know what the Citrix server is on. Until we know what powers the server it's easy to see for your use it's slower.
Your management should have no problem with you continuing to use your system and using the cloud system when its needed.
Citrix at first was not called cloud computing so that came later. It was more of a labeling effort rather than what I call cloud computing. In my view cloud computing can be a true cloud where your compute job can be spread over many CPUs in the compute farm. For Citrix this farm is usually pretty small and is sized to meet the meager needs rather than something for a power user.
Your Citrix server is most likely suited for Word and email use from the sounds of it.