Overwhelmed in public

I feel like a crappy mother because I get overwhelmed in public settings or family functions when my 1 month old cries & I can’t soothe her. I pass her off to her dad & I always think ppl think of me as a bad mom or not being able to handle her. I fear being out alone with her, I try to schedule her doctor appointments around her fathers schedule so he can be with me & I try to only take her out if she’s sleep. I feel so bad