Security with RDP connection

Hello,
I use my private computer at home with windows 8.1, a VPN and Norton Antivirus.

I work from home and connect remotely to my workstation (RDP). It is impossible for me to transfer files between the two computers.

The employer's IT department informs me that my private computer is at risk (no more Windows patch, risk of virus....), in short the usual alarmist talk.

Can someone confirm in "professional IT language" that my private computer does not pose any security problems in RDP on the professional computer?