For a start would your TV be able to pick up the WWW if it were connected to a Broadband Router? In other words is it a Smart TV?
I have a Smart TV and I tried a dongle first. Although the router was only 20 feet from the TV, the reception wasn't what you might call brilliant. The reason being that there was a staircase between the two. I don't know why that should have made any difference. A fridge, wall yes, but a staircase?
Also with a dongle, you are always open to interference.
So then we plugged it in directly via an ethernet lead and it was fine. Well, that is as a TV it's fine. But as far as the Internet goes it's pretty much a washout. We tend to record all our programmes though a Freeview box and watch them at our leisure. For what it's worth, my point of view is that a Smart TV is smart in name only.