Likely, you will not agree with how your EW co-parents with you 100% of the time. That you or she will get your own place? Then these little things like this won't happen because on her day she'll be on her own to put the child down for a nap.
A helpful rule of thumb--WHOSE parenting time is it? That's who should lead on how to parent. I assume your divorce settlement included terms on the days/times each of you has custody. When my ex-wife and I are in a shared space, we typically defer to whoever is actually responsible and in charge.
