Partner has little patience

My partner has little patience for my toddler. He expects her to do what she is told, when she is told. Her being a toddler, you can imagine this doesn’t work well a lot of the time as she’s finding her independence. I’d say he’s quite old school in his parenting ways. Most days he literally ends up bellowing shouting at her. Occasionally it ends up with him calling her ‘deaf’ ‘stupid’ or an ‘idiot’ because she doesn’t listen to him (or rather doesn’t do as he tells her to). I’ve tried to tell him she doesn’t respond to shouting, and that he needs to identify WHY she’s being ‘naughty’ (his words). At least once a week for past few months we’ve argued because I hate how he talks to her. He does acknowledge the shouting is wrong, and apologises to her. I just wish he wouldn’t lose his temper in the first place. I just am wondering if I should consider leaving to protect her, or whether this is something many women experience with their partners and toddlers and I’m just being sensitive? Thanks in advance for your comments.