If you want to experiment...

Many women need to feel affection from their partner. Your wife may be different, but affection isn't foreplay - it is touch and gestures that say she is important to you. Like putting your head on her lap as you talk or putting your hand on her leg without any sexual intent.

Or buying flowers. Consider things that don't require a response from her.

I found that when my W and I argued, that a few times I got closer, smiled, and touching her neck I said I was sorry to yell. I stopped suddenly and said something like, "I better back off a bit, your lips are so beautiful." I then backed off and sat across from her trying to look relaxed and open.

It wasn't a "planned" converstation, and you should only act like you, but I had to choose to add touch and affirming comments/compliments that were genuine.

Just because she didn't get giddy in fornt of you doesn't mean she didn't notice later that day. The point is that for her, it is an 'emotional need' and I offered something that she couldn't offer herself. Divorce can't give human affirmation. Love can.