feeling like a bad mom, even though I know I shouldn't

FTM here, my little girl will be 3 weeks tomorrow. Like a typical newborn she eats every 2 1/2 to 3 hours, so I haven't slept more than 3 hours uninterrupted since she was born.  I'm very tired, and my husband offered to take her for the night. He insisted I pump a few bottles and he'd sleep in the living room with her tonight. I know I should feel grateful that I have a husband who wants to help, but I feel so guilty! Like I should be up with the baby because I'm her mom... I can hear the ridiculousness in my story but I still feel bad 😢