What would you do in this situation?

So your significant other has been friends with another woman for about 10 years. She is single. You and he haven't been together for that long. She constantly texts him and shows up at his place of work to hang out. He works at public places. She knows about the two of you. He was single for many years during those 10 years when she was also single and they didn't get together. He has always claimed that he doesn't find her attractive and has no interest in her other than a friendship. Your significant other then invites you to spend the day at this beautiful park, where some of his male friends will be. You go with him and everything is fine. He talks to his friends and then suddenly walks over to you and says that he had ordered you some "company". The "company" is his single female friend. She is nothing more than an acquaintance to you. You get upset. You were excited to spend the day with him only (and maybe his other friends) and now she is in the picture. You express your feelings to him and he says that you are jealous and don't trust him. Then things go back to "normal" and a few days later he tells you that she had showed up at his place of work again, but he claims they did not hang out. You had texted him that night, filling him in on what had happened around your neighbourhood (some neighbour's incident with the police). You got no response back from him, but he did show up at home at the same time that he usually does. He spoke with you about your text messages in person. Two more days go by and you look at his phone. You find out that she had texted him on the same night he didn't reply to your text messages and around the same time. She had invited him to go hang out at a bar. He replied to her. Not to you. His reply was "I would, but I have to get up early tomorrow." The reason he had to get up early was because you and he had plans. Bottom line is that he didn't go hang out with her, but his reply to her indicates that he might have gone, if he didn't have plans with you. Also, he replied to her texts and not yours. Maybe because he was just about to see you? And he never told you about those interactions. Questions: 1) What would you do? 2) How do you approach him about the situation without causing him to accuse you of jealousy immediately? 3) Do you think it's disrespectful for a single woman who has been friend with your significant other for 10 years to want to hang out with him? Shouldn't she have asked "what do you and your significant other think about hanging out at this bar tonight?" Or shouldn't he have responded instead "Let me check with my significant other and see if she feels like hanging out tonight"? Thank you!

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