Windows Server 2012R2 and teamviewer

I would like to ask some help regarding how to set up teamviewer correctly to achieve the goal below. So, I have a server hosted in AWS and I would like to administer it via teamviewer. RDP is not an option because mainly I spend my time under very strict network rules - only port 80 can go through the firewall.

I installed teamviewer on the server but when the server has started and it is online the client on my desktop shows the server offline. Once I log in to the server via RDP it becomes online.

I googled aroung but there is no solution for this, or I try to use the wrong tool to achieve my goal.

Is there any way to solve this case?

Thanks in advance for any help!