Nice photo! It's a great capture of the elephant and well-composed.
Can you post a phone photo for comparison about "not as great"? Exposure in bright, high contrast situations can be tricky for any type of camera. Sensor size actually helps a lot here(as in physical size of the sensor, not megapixels) as larger sensors tend to have more dynamic range. The 1" sensor in your Powershot has this advantage over an iPhone camera, but still isn't as good as a DX(16x24mm) or FX(24x36mm) sensor. With that said, if you let it, current iPhones have a really good HDR mode that kicks on automatically. Also, if you're close enough, flash can help any camera in bright light.
My wife wanted a "portrait" of our dog yesterday, and I spent some time outside trying to get a good one. He is jet black and it was a bright day, so it wasn't an easy shot to make. I took about 60 with my Nikon Df, and it still took some both in-camera and post processing tweaking of the photos to get a good one. I ended up with 7 photos she was happy with.
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BTW, this is also one big benefit of shooting RAW. Modern CMOS sensors, including the older but amazing one in the Df, can generally have 1.5-2 stops of highlight recovery(past blowing) but you can generally only get the full benefit of that from a RAW capture.