Rajpura is overall relatively safe for solo female travelers. Like most places, it's crucial to practice general safety measures such as not travelling alone late at night, dressing modestly to respect the local culture, and being aware of your surroundings. People are generally friendly but it's always advisable to stay in well-populated areas and avoid secluded places. As per personal safety, it's crucial to be cautious and aware just like any other foreign city. Public transportation is quite safe and reliable though sometimes crowded.