<human>: Last night I snooped on my boyfriend's phone to find out a date of an event and saw a preview of a message to his coworker saying "if you dont want me around anymore I understand." 

Naturally I opened it and further up she had sent a message seeming pissed off that he had told her he loved her and he replied "I wouldn't say it if I didn't mean it." Now, she is married and she also knows me personally so I was furious. 

I burst and told him what I'd seen and he told me they'd simply had a falling out. I then said i'd seen the word "love" and he denied it for over an hour. He went home at 1am and texted me that he meant it as a friend and then told me that she liked him and was mad about our relationship, which is why he didn't tell me- it was between him and her, apparently, and it wasn't my place to know. But I just can't believe him. He came back and stayed up all night telling me that he wants to be with me and he texted her to tell her that their conversation was inappropriate and he only wanted to be friends. Apparently he told her he loved her before we were together and I had known they'd been close friends last year, but why would they be arguing about it last night? I later ended up kissing him and we'd agreed to give each other space for the next 5 days. 

I don't know how to overcome this. I'm not in love with him but he is incredibly important to me and we spend nearly every evening together. But i don't know if I can trust him or take his word. I told him we were done but he begged, the reality of his absence hit me and he won me over. What do I do?

Can you succinctly summarize the text in 1-3 sentences?
<bot>: Boyfriend told married woman he loved her, they've fallen out, he says he meant it as a friend and he only wants me. Don't know what steps to take