Leaving newborn ..

Im a FTM, so im not sure how this goes. My daughter is 3.5 weeks old and im considering leaving her with my mom for a night for a date night w/ husband and to catch up on sleep. I trust my mom 199% but i feel so guilty, she’ll miss me right?😭 i dont breastfeed, and i do leave her Monday-Thursday for a few hours , with my mom because I am a full time student. I went back to school after two weeks. Posting anonymously because it can get a little judgy in here🥴 .

Also to add, baby is only formula fed.