The control radio will probably only interfere with the WiFi adapter when it's within a meter or two. Once the drone is flying the signal will be weaker and the error handling should be good enough to handle it.
However the opposite is also true. Once flying, any transmissions from the WiFi antenna on the drone will still be really close to your receiver and ...
From a strict RF standpoint there will be some interference. This would occur if the RC and Wi-Fi were near the same frequencies, transmitting at the same time, some phase relationship and etc.
The worst case would be operating at the extreme end of the range (distance) where one transmitter is driving hard and the other receiver is getting overdriven. This ...
Radio systems that claim to be "2.4 GHz" don't actually operate on EXACTLY 2.4 GHz. They have different channels a short distance apart.
For example, nRF24 transmitters have an active frequency range of 2400 MHz to 2525 MHz, giving it 125 5-MHz channels.
Many devices will switch to a different channel if interference is detected.