If a woman comes to you and initiates a conversation but refuses to sit when you offer her a chair, it could indicate a few possible things. Here are a few insights that may help you:

1. Nervousness or Anxiety: Fidgeting and refusing to sit could suggest that she is feeling anxious or nervous around you. This could be due to various reasons, such as being attracted to you, wanting to make a positive impression, or feeling unsure about how to approach the conversation. It's important to create a comfortable and relaxed environment to make her feel at ease.

2. Personal Preference: It's also possible that she simply prefers to stand rather than sit. Some individuals are more comfortable discussing certain topics while standing, or they might find sitting too formal or restrictive. Respect her choice and try not to attribute it solely to your interaction with her.

3. Cultural or Social Norms: Different cultures have varying customs and social norms. Some individuals may have been raised to follow specific etiquette when it comes to sitting or standing in certain situations. Consider whether cultural or social expectations may be influencing her decision.

To further understand her behavior and intentions, it is recommended to observe her nonverbal cues, such as body language, eye contact, and overall demeanor. Additionally, open and honest communication is key. Ask her if everything is okay and if there's anything you can do to make her feel more comfortable. Establishing a safe and welcoming environment will encourage her to open up and share her thoughts and feelings.