I am having a similar issue. I am using a CAD u37 mic. Had it running on an older laptop that used Audacity 3.2.5 Just got a new laptop and have Audacity 3.3.2 installed. The Mic is recognized and I have all of the setting set to use it as the recording device. I have test it in other apps and the Windows system and it can record and pick up audio just fine. I can even plug it into the old laptop and it will record in Audacity. But If I plug it into the new laptop, It will not record anything from the USB mic in audacity.
Looks like you have not got it installed or not enabled. Forget about Audacity, close it.
Make sure USB is installed in windows , check Device manager for no Yellow Question marks and no red Xs. Then in windows sound settings make sure USB mic is working and you can see input levels rise as you YELL into it. OR search “Control Panel” and go to Sound and look at all the devices you have… is the list sensible and is USB device there. Check volume levels in windows etc. Then when sure all is working…Open Audacity and select the devices you are using Host, Input, Output.
is it a listed device in Audacity, Have you it selected in audacity.
How is it listed in windows…C-media USB device…??.. did you try mic boost…??
Do you see this device listed in Audacity…
Did you try windows mixer to at least get it working and untick or switch off any sound enhancement
If listed in Audacity and selected do you see the Audacity mic level bars go up