Just because you and your department want a certain feature/service doesn't mean that you should have free reign in implementing and installing non-approved services in the hospital's infrastructure. You have to ask yourself why IT can't (or won't) provide this service to the community as a whole. More often than not it is a matter of money, time, risk, knowledge, business need and/or a combination of these and other factors.
The IT department is there to deliver a bunch of services that ensures that the hospital's mission and objectives are achieved. Often, these objectives conflict with what individual users, or user groups, want. God, I wish my company would allow us to connect our devices (Androids, iPhones) directly into the Exchange server, allow us to have some sort of internal social media, wikis, etc. But we don't. And we don't because the company has chosen not to. Myopic? Yes. Justified? Absolutely. It is the company's business and assets they're protecting.
So the short answer is yes. They're allowing you to play in their network? You need to give them access. What you need to do is go up to both IT and Hospital management and convince them that what you want to do is not only good for your group, but for the company as a whole. Hey, maybe you'll end up changing the way the company delivers services to your user community.