<human>: We can only see each other every few months for a short time. We are very open with each other and we communicate well. She is travelling to America in a few months and she said she would like my permission to be 'free' (have sex with other men/women) during her time there. This would go both ways. 

However, there's a fundamental difference for us: She can separate sex from love, I can't. I can't become romantically interested in someone unless I befriend them and spend some time together. I also need an emotional/intellectual connection in order to 'perform', which typically leads to relationships (something which we are not talking about in this 'arrangement').

So realistically, she wants to have sex with other people, but I won't do anything.

I don't know if I can be comfortable, or feel the same way about her when we meet again, knowing that she has done other things with other people. She doesn't know if she wants to be in the relationship if she has to remain monogamous. This is something which she said she planned on doing before she met me, so she is adamant that she wants to go through with it. We communicate very well and I am pleased that she even asked me about this, but I don't know how to proceed.

Do I let her sleep with others and hope we'll both still feel the same (and that she doesn't fall for somebody else over there)? Do I refuse her request and hope she doesn't break up with me? (She said she doesn't know what will happen if I refuse) Do I turn a blind eye to it? 

One further thing: There's no way to know if she would like to continue this open relationship when she returns to her own country, making the chances of a relationship forming happen, making me more uncertain.

Can you give me a shortened version of the text?
<bot>: GF wants LDR to become open LDR. I am scared of this. Do I allow/refuse this request?