This is the tricky moment in the recipe. You need to do this gently so as not to break the egg yolks.
Leave like this on low heat for about 5 minutes to warm the yolks through, but they should not cook.
Remarks
Everything can be prepared in advance, only the yolks need to be added at the last minute.
You can add a little surprise flavour in the hollow of the whites under the yolks, something strong like a drop of wasabi, a few drops of vinegar, or whatever you can think of.