Generally power supplies are rated from 100-250 volts. This covers North America (115(though also 230)), Japan (100, at least partially, north south thing as I recall), Europe (220-250), and Mainland Asia(240).
As the voltage increases, the current goes down.
10A at 230V is 2300W, that is way more than a RM1000x should pull. But those could be short bursts, which wouldn't result in much heating in the wires. And that is all the safety is about, the heat load on the wires. Your circuit breakers are designed to protect your wiring, not your stuff. It is up to the devices to protect themselves, and your PSU will have Over Current, Over Voltage, etc protections to protect itself and your components.
PSUs are rated in efficiency, so 90% being a reasonable average for the PSUs you are looking at (80+ is 80%, Bronze is 85%, and so on) Actually more efficient at the higher voltages.
So they will pull that extra 10% over their deliverable power. You should expect an 1100W draw from a 1000W PSU running full capacity, which by the by, you won't be running anyway. So the power draw will be even less. On average you are probably looking at 500W under a full load, so 550W or so from the wall.
There are certainly higher capacity circuits and wiring standards for larger appliances, but your 1000W PSU doesn't meet those limits. In the US some of the 1500/1600W PSUs require a 20A circuit instead of the normal 15A, and that means a different outlet, larger wire gauge, and a bigger circuit breaker at the panel. Pretty rare to need such a PSU unless doing hardcover overclocking or mining.
A good adapter should be fine, but it is better to just buy a cable and avoid the extra connection. Doesn't have to be today, you can always order a decent cable shipped to you.