Hi @David Rooker ,
Most Virtual Machine sizes should work for this, maybe start with a smaller D Series as that's a General Purpose used for most things - Just make sure that you attach a Static Public IP to the Virtual Machine on or after deployment. https://learn.microsoft.com/en-us/azure/virtual-network/virtual-network-deploy-static-pip-arm-portal
Alternatively, if the game you're playing requires DirectX or OpenGL 3D support and you find the size you're on won't work, you can deploy a GPU Series VM or Size up your existing VM. https://learn.microsoft.com/en-us/azure/virtual-machines/sizes-gpu
If you're only using the Virtual Machine for 2 hours a day, make sure it's Stopped (Deallocated) to not accrue unnecessary charges. Shutting a VM down from within the OS will put it into a 'Stopped' state, but clicking 'Stop' from the Azure Portal will make sure it's deallocated.