I had that setup 8-9 years ago with an Alienware R17 and had no problems with text—and believe me, I would've noticed cos I use my machine for work as well as gaming. I still use 2 TVs here on my desktop system.
I'm no expert, so wait for one of them to pass by and comment on the blur effect. They will doubtless at least want to know the make and model of your laptop, so please supply that—of special interest will be the graphics card the TV is connected to, and the kind of connection at both ends, incl any adapters in use.
Check your TV manual or website—there might be a particular resolution it needs to be at to function at it's best. Please also supply make and model of the TV.