Alhamdulillah, congrats on your baby girl! 37 weeks 4 days is still considered early, but honestly at that gestation most babies do really well, a few of my mum friends delivered around that time and their babies didn't need NICU or anything. Make sure you're monitoring her closely for jaundice and feeding, and follow up with the pediatrician for the usual newborn checks, tapi overall you should be fine lah!