Thank you but I can't do that exactly like you say. By HP I was meaning Hewlett Packard the company developing the piece of shit software that was sold to our very large hospital. I can't openly discuss why or how they made such a foolish decision. I don't have the permissions to set up anything on any computer at work, other than logging into the network and using the software. That would only be allowed if you have a relatively updated IE version, the ones working on W8 and later. Supposedly for security reasons. All they're going to do is delivering to us the permission to access the internal network from our homes if we have such IE.
But from your post I should be able to get some workaround using a ghost intermediary computer with Windows installed, were I able to get MS Remote desktop working in my Mac. Thanks!
Any other suggestion shall be very welcome