No idea. This really isn't an intended application for OBS. If the TV has something connected to it that is capable of either running a browser or a media player like VLC, then that would work, but I've had very limited success in getting it to stream to set top boxes. I know others who have succeeded in getting it to stream to Roku boxes, but they did so by programming their own Roku channel.
I presume the TV is too far away from the computer running OBS to just run an HDMI cable?