hi experts here,
I have a relationship with a lady. She seems to like me and want to spend time with me. One day, on phone, she said that what if I will have another girl to meet or I do not want to get know her anymore, I should let her know right away. Her point, she give me a chance in advance, to let me break up with her if I want to meet another woman.

my confusion, when she said it to me, she does not care if I leave her or not , right?

I think she let me in her friend-zone , and beside, she doesn't want to be cheated by me. After all, she still doesn't need me much. That why she give me a way, to stay or leave.

Our relationship lasts almost 2 months.
That my thoughts.

I need ideas of you guys.

Not necessarily. She may be genuinely concerned that you will find someone else and that it might break her heart.

Not everything is a pua shit test or game-playing, especially within the context of a relationship.

The principle of always assume attraction plays into this. When this happens, assume she is actually jealous and reassure her or handle it however you want.

How are you in a relationship with a woman that "seems" to like you?
Moreso, how the hell are you seeing friendzone in all this?

She simply asked of you to leave her straight up instead of cheating on her. That's literally some of the most common things you'll hear women say when they're getting emotionally attached.

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My in depth texting & dating guide.
There's no such thing as shit-tests.
How to keep a girl.

What did you do to her to provoke that "ultimatum" from her?

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Uncertainty is the root of all progress and all growth.

Basically, a congruence test is to make sure that you aren't full of shit. No biggie.

Not an ultimatum, friend zone, win or lose death threat.

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They call me the cat whisperer, cause I know exactly what the pussy needs.

While I agree with Cross, I do believe she is highly insecure, otherwise she wouldn't be asking you this. However I could be wrong, and she could be just testing you.