Presumably you have a user interface somewhere and the operator is intended to watch the video from the 'bot and send it commands in real time.
In that case I'd just use an IP camera and display that directly on the PC where the user interface is provided. If your user interface took the form of a web page served by the Arduino then you could embed the video directly in that page. Alternatively, host the web page elsewhere and use server-side scripting or client-side scripting to send commands to the Arduino in response to user commands; you could still embed the video in the page. If your user interface is not a web page and doesn't enable you to show video directly, then you could simply open a separate browser window to display the video and put it on the same screen.
Just because your Arduino is next to the camera and has a wireless connection, doesn't mean that the video has to go over that connection.
If you do have a genuine requirement to send the video and the Arduino commands via a shared WiFi adapter then the best way to achieve that is probably to use a Raspberry Pi on the 'bot to drive the camera and the Arduino - but that's a more expensive and complicated solution and it seems pretty unlikely there's any genuine need for that.