The 'R.I.P' singer is often likened to the 'Diamonds' hitmaker, and while she is a fan, she wants everyone to realise they are completely different people with their own individual sound and career.
Speaking of the comparison, she said: ''It's just so unnecessary, the most unnecessary thing I've ever heard, actually. I mean, last time I checked, I've been blonde since I was 14 years old. My inspiration has always been from old-school, classic, so I don't take any notice of that.
''I've met Rihanna and she's fun to hang with. Don't get me wrong: I see nothing but great things, but I think it's time to move on now.''
Rita, 22 - who was accused by ex-boyfriend Rob Kardashian of being repeatedly unfaithful during their relationship this week - added she will never complain about press attention because it is something that goes with the territory when you are famous.
She said: ''If you want to do my job, you have to suck it up, because it goes hand-in-hand with what you're doing. At the end of the day, the media are helping you - they're what you need.
''You can turn around and punch a paparazzo in the face, or you can keep moving and let them get the shot, but that's not what you should be worried about. The main concern should be getting respect for your music.''