U have virtual assistant but boss doesn’t , would you ?

so let's say you work for large corp and feel overwhelmed with a few tasks and know that you can and want to have VA do some jobs on scheduling and ops to free up your time. Your boss is too traditional corp bozo and doesn't get the idea of Virtual Assistant. Having an assistant in company is this only for high rank privileged bosses. 

if I just pay for it and have VA respond to some type of emails and manage my calendar, will that be a bad thing?  

if I ask or try to persuade bosses I know it will be shut down at the first go. should I go do it and seek pardon later if it really upset people?

comment on my approach, should I be worried ?