I feel that I sometimes come off as rude because of my stutter

I feel that I sometimes come off as rude because of my stutter Last night I was at some friends house and made dinner. My stutter has gotten worse now (it varies alot), but speaking to them was fine. Then another person came over. This was a girl I have met at a party once, and she is really really nice. Talking to her was terrible, but only because I stuttered so much. I feel like I might have come off as rude, because I was not really interested in talking to her. However, this is only because it was so difficult for me to speak. It was not that I didn’t want to speak to her, it was just that it was so strenuous for me to keep the conversation going. Altought this do not happen often, the times it does it really hurts me. It reminds me of why living with a medium-severe stutter is so difficult. Do you feel like this happen to you, and how to you deal with it? Also, I feel like sending her a message explaining my situation. We messaged about having a coffee once (never got to it but point is I have her number), but I don’t really know her that well. I want to do it for her sake, but also for my sake because I feel bad about it. Or will it just make it worse for her telling her about it? She is also good friends with my other friends so I dont want them talking about me being rude. She will be leaving this country and I will most likely never see her again. I could also tell our common friend and explain to him so he can tell her if she brings it up.