It really is a great camera. Also take into account that it has a far easier to use interface than most point and shoots, plus sharing is really easy thanks to the Windows Phone OS (Which prides itself on sharing always being one tap away).
I'd say return the point-and-shoot and pick up a Lumia 1020. The Lumia is a far more versatile and useful device, and you won't feel weird carrying it around with you everywhere. After all, who wants to carry around a smartphone and a point-in-shoot these days? With the Lumia, you can rest assured you've always got a decent camera in your pocket, but it still acts as a great smartphone.
My apologies if it sounds like Nokia is paying me to write this, but that's honestly how I feel about my 1020. It acts as a great smartphone, that just so happens to have an incredible camera packed inside.
Granted, if you're zooming in really far, a point and shoot would probably win due to optical zoom. Also, some point and shoots may come with more control over the camera's settings. But if you don't care about zooming in on stuff half a mile away, and you always use automatic mode or tinker very lightly with the settings, then again, I recommend the Lumia 1020.
Hell, these days, I'd recommend almost any smartphone's camera over a point-and-shoot. Most smartphones are already "good enough", and then you don't have to worry about the extra baggage. The 1020 just takes things a step further, that's all. The point and shoot is pretty much dead, the real source of debate now is smartphone vs. dSLR. dSLR obviously still wins, but devices like the 1020 are really starting to close the gap.
All in all, I'd recommend just carrying around the 1020 to make your life easier, especially since it's likely to take better pics anyways. (Sorry for rambling on and sounding like a repetitive commercial, that's just how my mind works).
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