After the blind date, the woman sent me a text message on her own initiative. Does that mean he has a crush on me?

In my opinion, your idea is right. Generally speaking, in the matter of blind date, if you don't have any feelings for each other, there should be no result, or just no one to talk about, no fate, and girls are generally conservative. Since girls take the initiative to send you text messages, it should show that they have a good impression on you and want to further communicate. I think so, but it also depends on the content of his message. If he is chatting with you normally, or he knows something about you, it means that he has a good impression on you and is interesting. Do you want to get to know you? If you still feel a little confused or uncertain in this situation, you can try to chat with him and ask him about his hobbies, work experience, life experience and so on. If she is willing to chat with you happily, it means that she must have a crush on you. On this basis, you can ask her out shopping for dinner. If she readily agrees, there is little doubt.