Hi TIPI,
Welcome

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Let me make sure I'm understanding correctly. You've been dating a woman for a month and she is pushing you away? We have a lot of really great articles available for you to begin reading. It will be important for you to start your relationship off with well established boundaries, validation, and not walking on egg shells. You can find many of those articles on the right side of the page.
We have a great article called
How a BPD Relationship Evolves . This might help you become aware of some of the dynamics going on in your relationship.
Another one of our articles that might help with push pull behavior is one called
Fear of Engulfment