live streaming

Hello everyone, I wonder if my question is off topic or a stupid question. I am very unfamiliar with the digital devices but now I have to buy and use those for my school. I would like to do on line teaching live streaming using zoom or something like that. If I buy a smart tv and connect it...

Can I use a gaming capture card, such as the Elgato, to stream live sporting events for my school? Or is that no compatible. I'm trying to use a Canon XA10 camera. Do I need a Magewell instead? I plan on using wirecast.