I must admit that I have omitted details in the past with my partner at the time because she was the jealous type and I was worried she would misinterpret something that I found to be innocuous as something to be concerned about. At the time I figured better a little inaccuracy than a lot of explaining and dialogue to heal from any hurt, but it also came to gnaw at me with time.I was just trying to do the right thing but was worried it might be taken the wrong way as me trying to get back together with her.
I'd say that if your daughter is not concerned, you shouldn't be either.
Sometimes we need to make the best out of a situation and shouldn't get caught up in how it may appear to those people situated elsewhere.