Just to be clear - you won't just move the recovery partition to a USB flash drive. You will create a whole new Windows 10 recovery or install USB flash drive. The 450mb recovery partition does not contain the files needed to re-install Windows. It only contains the files needed to boot into the recovery/troubleshooting mode. You would still need a separate source with the files needed to re-install (or reset) Windows.
Creating a complete Windows recovery flash drive will contain the files needed to re-install Windows if you have to. Judging from your disk layout posted you are going to have to download a Windows 10 ISO file to create a complete recovery drive with the system files needed to re-install Windows.
My recommendation would be to use the Windows 10 Media Creation Tool to create a Windows 10 installation USB flash drive - use an 8 gb flash drive. Then add a folder to it called Drivers (or whatever you want). Then from an elevated ("run as administrator") command prompt, run the command:
DISM.exe /Online /Export-Driver /Destination:E:\Drivers
The path in red would be the path to folder you created on the USB flash drive to hold your drivers. You would then have a flash drive that you could boot your computer from, run the recovery/troubleshooting environment from, re-install Windows 10 from, and install any computer specific drivers required from.
Personally, I like also to use EasyBCD to add bootable Macrium Reflect Free and MiniTool Partition Wizard ISOs to my recovery flash drive - but that quite a ways down the road for you yet.