We aren't dating yet, but I saw him with another woman. What should I do?

sailors_girl
I had sex with this guy last Tues and Wed. We had a great time, he texts me all the time and we get along great. But we are not dating yet, but I want to. Today he said that he wanted to see me but the kids (4) were spending the night. So he made plans with me for this coming Tuesday. Then 2 hours or so later I saw him in Walmart ( I was with my 16 yr old son) he was with another woman, and no kids around. About 20 minutes after I saw him he texts me ( he was most likely still with her) and said something about the kids being in the car and they were fighting etc. I per my sons advice played it off and talked to him. He text me for the next hour or so, I'm sure she was with him. He did not mention her at all and I didn't either. My son tells me I don't have a right to be mad because we aren't dating, he said I should still go over there on Tuesday and spend time with him and prove to him I'm the better woman. He is a really awesome guy and we have a great time together. I want a relationship with him but now feel stupid because I saw him with someone else. Were the kids really in the car? Who knows.
We aren't dating yet, but I saw him with another woman. What should I do?
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