You mean your linux guest can not connect to external network through bridged mode? What's the result if you change to NAT mode?
With a Kali Linux VM you probably want full exclusive access to the Wifi-adapter. That is impossible via a bridged vmnet.
I recommend to use a USB Wifi-adapter that you connect directly to the VM.
If you only want to surf or send emails then using a virtual network card may be sufficient.
That is correct. I want full network access, which as far as I understand, can be achieved using bridged mode. Can it not be then? If not, would it be possible for me to attach my laptop's one network adapter to it? I understand that doing this would eliminate the host's ability to connect to the network, but when working in Kali, I really would not care.