What does it mean that the woman sent me a message saying that I miss you so much after breaking up?

The meaning of "I miss you so much" sent by the woman after the breakup may be varied, and the specific meaning needs to be judged according to the context and the interaction history of both parties. Here are some possible explanations:

1. She still has feelings for you: this sentence may be a euphemistic expression of her thoughts and nostalgia for you, suggesting that she has not completely let go of her feelings for you.

2. She is experiencing an emotional struggle: breaking up may be a painful experience for her, and she may regret the beauty of the past and be anxious about the uncertainty of the future. She may be expressing her emotional struggle and inner conflict by sending this sentence.

3. She wants to get back together: This sentence may imply that she wants to start your relationship again. This does not necessarily mean that she will succeed, but her words may be an attempt to save her feelings.

In either case, you need to show understanding and respect for her feelings. If you feel similar to her, you can consider responding to her in an appropriate way and communicating with her deeply. If you have decided to end this relationship, you need to express your thoughts clearly and give her enough space and time to deal with her feelings.