Could you tell me if it will cause any problems?
If there isn’t already a positive report for machine in the HCL, no one can tell you with certainty.
Intel Core i7-1165G7 processor
This is a Tiger Lake CPU, which isn’t fully supported at this time.
Intel (IGP) Graphics Intel Iris Xᵉ
This might require some troubleshooting, but there are others using Tiger Lake CPU with Iris Xe graphics. You probably should start with the Qubes R4.1 Beta right away.
NVIDIA MX350 card
Nvidia GPUs may require troubleshooting.
In my experience not worth the trouble, but you can use the integrated graphics.
I don’t know you reasons for wanting this specific machine. You might be able to make it work, but it might require a substantial amount of troubleshooting and workarounds. If you have solid Linux knowledge and skills and don’t mind working on this for several days or even weeks, you might give it a shot.
If you however just want to learn about Qubes OS and are less technically inclined you should choose a machine that has a positive HCL report or is mentioned in the community-recommended list.