How close should a friend be to your boyfriend?

I've been with my boyfriend for 7 months. I trust him and we have a good relationship. However, one of my 'friends' has been getting close to him in a way I feel uncomfortable with. She was my friend before I met my boyfriend, but as time went on our friendship began to weaken. However to my surprise, I started to realise that she was having frequent text conversations with my boyfriend. At first I though it was just friendly, and my bf made no attempt to hide the fact they spoke all the time. Then one day he casually fills me in that they went to get a takeaway together. This caused alarm bells; she is supposed to me my friend, so I didn't understand why she would go out with him and not involve me. Me and my boyfriend always go on nights out together, either with his friends or my friends, or both. But whenever the 'friend' plans an event, she never invites me. Instead she always invites my boyfriend who subsequently brings me along. And sometimes she dances in front of him. Not in a sexual way or anything, but in a way that really makes me feel left out. And she always starts convo with him in my presence without involving me, it's like she is trying to keep his attention away from me. I'm starting to feel like a fool for being okay with this. I totally trust my boyfriend and he doesn't think anything of it, but if it continues anything could happen. It's already caused disruption because I explained how I felt to my bf and he really hurt my feelings by calling me jealous and crazy, so now we are not on speaking terms. I don't know whether I'm being paranoid or I should follow my instinct. To make it worse the 'friend' still acts friendly to my face and everything. I'm so confused about the situation.

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