Sex after being a mother

Hey Mummies! I'm a FTM who delivered in Nov 2019. Since then, I'm just so tired from taking care of baby, doing housework and work stuff. Sex is definitely the last thing I think of. My husband has been bringing up then we haven't had sex for so many months. But I just feel so dry and totally no mood for it. Don't even feel like being intimate or being touched. On the other hand, I feel guilty for not satisfying his desire too. Sigh, any mummies feel this way too? How long after delivery did you have sex again?