Wife Cheated

First post, so sorry. Last Friday, wife of 16 years let me know she cheated "one" time during this last summer. I've been sleeping in guest bedroom trying to figure out next steps. She's been giving me space, but periodically goes into everything is normal mode. She wants to go on a date tomorrow, seven days after her telling me. I don't want to go, but I feel guilty. She wants to stay together and I'm not sure. Actually I don't, but feel guilty about that. She's very flirty and often inappropriate with men, especially when drinking, even around me. Can't imagine how she is when I'm not around. She was texting at least two men over the summer as well. She's acting really remorseful, but, I don't know if she wants to stay in relationship for the wrong reasons. Plus, I'm embarrassed if I stay in. Kids aren't a worry. I think she wanting to stay is about financial, not being alone, unless she finds someone else to be that long term guy. I don't know why I feel guilty. I'm definitely angry and numb. Any advice would be appreciated please.