Fiancés female friend liked him but he says he can’t give her up due to work?

I recently went out with my fiancé and his female friend. She was quite flirty with him and gave him long looks. It was clear to me that he likes her.

I told him this and he agreed she seemed she like him. She texts and calls him a lot outside of work too.

However, my fiancé said that he can’t stop communicating with her becuase of work and work connections. So he is going to keep in contact with this woman who likes him.

I’m feeling upset by his actions. Am I wrong to want him to stop contact except work contact with her?

Fiancés female friend liked him but he says he can’t give her up due to work?
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