rdp – Can a website recognize the remote operation of a computer?

I'm sorry if this is a stupid question, but I'm not very well educated when it comes to safety.

I was wondering if a website I visit could detect if the computer being used was remotely controlled.

For example…

I have two desktops. I'm using Desktop 1 to remotely control Desktop 2 over Windows Remote Desktop Connection. I visit a website on Desktop 2 through this connection. Can the site find that Desktop 2 is running remotely? (Do not recognize desktop 1, but only recognize remote operation in general).

Many thanks