If you buy a thermometer for your child, a good thing to do as a father, simply unwrap it and put it in the cupboard. Don't mention it other than matter of factly- that would be pursuing. On the speaker, leave it alone. Putting it beside her bed would definitely result in her rolling her eyes.
She knows you don't want a divorce. Doing the things that are pursuing will cause her to feel that you aren't getting it and she will push back harder than she already is. You are making the OM look like a hero. He just has to sit back while you self destruct.
