Screen resolution of MacBook Pro Retina

I have a MacBook Pro 13" Retina-display (Late 2013 model)

I recently bought a very cheap HDMI cable to plug it on my tv in my room (for Screen Mirroring and sometimes, Screen extend). Since it's cheap, I'm quite worried on a possible effect it would bring to my MacBook's resolution or display or maybe performance or at least, something.

Will it ruin my MacBook in any sort in the long run? Should I just forgo the cheap HDMI and invest on a better quality albeit being a bit more expensive, or Thunderbolt, perhaps? (Never tried Thunderbolt)