Daisougen No Chiisana Ryoushu: Moto Hai Gamer Na Tensei Youjo No Tanoshii Hard Mode Henken Kaitakuki

Alexis, the youngest princess of the Kingdom of Centrum, is only seven years old when her half-siblings cast her aside and exile her to a remote frontier.
The place she’s sent to is a nightmare: monsters run rampant, and there aren’t even preparations in place to survive the coming winter.
For an ordinary little girl, it would be a hopeless situation—just waiting for death.
But Alexis refuses to give up.
Because in her previous life… she was a hardcore, no-lifing gamer!
A reincarnated child who loves adversity charges headfirst into impossible odds.
A hard-mode isekai frontier-development fantasy begins here! (Sana Scans)