Absolutely! It is perfectly okay for a woman (or anyone, for that matter) to ask a shy guy out. Gender roles and societal norms should not dictate who can make the first move in a romantic relationship.
In today's progressive society, the idea that only men should initiate romantic pursuits is becoming increasingly outdated. More and more people are recognizing the importance of equality and breaking away from traditional gender norms. Women expressing their interest and taking the initiative to ask someone out is a positive step towards this equality.
Shyness should not be a barrier to forming a connection with someone. If you are interested in a shy guy, don't hesitate to ask him out or make your intentions clear. Being asked out can be flattering and empowering for anyone, regardless of their gender or personality type.
Remember, the most important thing is to communicate openly and respectfully with the person you're interested in. If the shy guy feels uncomfortable or not ready for a romantic relationship, it's essential to respect his feelings and boundaries. But by taking the initiative, you are giving both of you a chance to explore a potential connection, which is a great thing!