If an astronaut in space pushes off of the satellite she is working on and there are no other external forces acting on her, she will move in the same direction at the same speed forever. This is due to Newton's first law of motion, which states that an object at rest will stay at rest and an object in motion will stay in motion with the same speed and in the same direction unless acted upon by an external force. So, the correct answer is:
She will move in the same direction at the same speed forever.