Some of the events in a story I'm thinking of have occur on a planet called Ascendia. Due to the world's backstory, it has several unusual traits.
Despite orbiting around a hot (roughly large F/small A class) star, it's a cold world - with average daytime temperatures of ~-50 degrees C at the equatorial regions. I assume this would probably mean that it orbits somewhere between 4.5-5.5 AU out from the system's star, since an F0 star has a habitable zone extending up to 3.7.
Although it has an oxygen-nitrogen atmosphere (either naturally or through terraforming) and an Earth-like pressure and gravity, its temperatures render it uninhabitable to any ordinary human settlers. The planet explicitly cannot be rendered conventionally habitable by any mix of greenhouse gases that would leave the atmosphere still breathable, as a major plot point in its history is that it was claimed by a faction of genetically-enhanced part-humans since nobody else had any use for it. Additionally, there are no planets in the habitable zone of the system or near Ascendia - it can be effectively considered on its own for the purposes of any analysis.
Ascendia's weather is usually calm and clear, but can sometimes be beset by "frostblade" storms, a phenomenon that can be compared to a massive blizzard which can engulf entire areas of the world for weeks - much like the dust storms of Mars.
So, my question is - is this planet feasible or possible as stated, or do I need to make compromises on some of its properties to keep the setting realistic?