@Janesmom
Can completely empathise with OP’s predicament. However, I think there needs to be some “give and take” on this and your DH isn’t unreasonable to expect intimacy in your relationship.
If sex is a dealbreaker for you, I think your DH would be well within his rights deciding the relationship is over.
For god's sake, she's a busy mother with at least two small children from the sound of it, possibly only recently ceased breastfeeding and with all the hormonal and physical disruption and broken nights that having a small child entails. And her husband is prioritising not her well-being and needs, but his own.
We set such low standards for men. OP, has your husband settled the kids to bed one evening, left you with a glass of wine, then come downstairs and asked you what you want? What he can do to help you feel good about yourself and him? I'm guessing not. Managing this aspect of your relationship is all down to you, I suspect.
This whole idea that men are owed regular sex come what may, that if a wife, even an exhausted wife whose energy and libido are in the bin, doesn't respond when her husband wants it then he's entitled to leave her — even at this, one of the most fraught and exhausting and difficult stages of their lives together as a family — horrifies me. Have none of you heard of feminism? Women do this extraordinary thing with their bodies: they produce the next generation and all too often men overlook or are ignorant of everything that's going on with their partners and just expect everything to go back to normal asap.
Talk to him about how you feel, OP. Explain how tired and overwhelmed you are, about how your body doesn't feel as if it's your own, if that's how you feel. Loads of women will know that feeling. If as Janesmom says, he feels well within his rights that the relationship is over — well, frankly you are well rid of him because in a long-term loving relationship no one has overwhelming rights and intimacy needs to be negotiated, not taken for granted.