If our solar system were to suddenly teleport away from the galaxy, the rotation of the Earth around the Sun would not be immediately affected. The Earth's orbit around the Sun is primarily governed by the gravitational pull between the two bodies. This gravitational force is determined by the mass of the Sun and the distance between the Sun and the Earth.
When the solar system is within the galaxy, it experiences the combined gravitational pull of all the stars and objects in the galaxy, including the Sun's gravitational pull. However, if the solar system were to suddenly move away from the galaxy, the gravitational force exerted by the galaxy would diminish significantly, and the Sun's gravitational pull would become the dominant force affecting the Earth's orbit.
In this scenario, the Earth's orbit around the Sun would remain relatively stable and unchanged since the Sun's gravitational pull on the Earth is the primary determinant of its orbital motion. However, it is important to note that the absence of the galaxy's gravitational influence could have long-term effects on the solar system's overall dynamics and the Earth's environment over time.