That's a five-chord/power chord. It is lacking the third interval. The third interval is the one which determines if a chord is major or minor. So you have a gender-neutral chord and if it sounds right to you then it is right. Probably in some contexts it might sound a little pale. But the way I look at it: if it is good enough for Black Sabbath and Nirvana, it is good enough for us. Since you're finger picking, it might sound odd without that G#, but you won't know 'til you try it.
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