How do I remove a restored Time Machine backup from my new desktop?

I broke my old Mac's screen and got a new one (aka the one I'm typing on and trying to resolve an issue for right now). I've backed data on my old Mac two weeks ago on a LaCie Rugged SSD via Time Machine.

So what I tried to did was I restored a copy of that backing and chose a location on my new Mac, i.e. desktop. It shows up on my desktop (it's called "Data") but what has happened now is I want to remove this restored version because I don't actually need some of things in it.

Let me show you what I mean.

Forgive me if my explanation or question doesn't make sense, I barely even know what's up and don't know any technical terms to pinpoint the problem... I mean if I did, I probably wouldn't be here, lol.

Cheers!

[Re-Titled by Moderator]