A USB Bluetooth adapter is fine, you shouldn't have any problems with it.
WiFi on the other hand depends on what you use it for, the USB port will be a bottleneck. I'm hardwired but I have a USB dongle for testing wifi single and I wouldn't recommend it if you're doing anything other than basic browsing.
Maybe try a pci riser cable? You might have some issue with securing the card inside the case but maybe give some space between the cards could help
Is the GPU in the correct slot?
Are you sure the PSU can handle the new GPU?
Are you sure you didn't damage the wifi card when you installed the GPU?