Is it safe to have a cat while having a baby in house

So my baby is due in 2 months and my family owns a cat. Its a persian and has a lot of fur. To be honest I don’t like him because of his fur being everywhere, he scratches all my cushions and above all he doesn’t care a shit about anyone in the house unless it’s time for him food.

But he is very very cute and I don’t really mind having him around. But I am scared if the baby comes his fur is going to be a problem. Will it harm the baby? Will the cat harm my baby. I never let him in my room. And since i live with my family I can’t get rid of him. I am just really concerned when the baby comes.

And please no hate guys. I am a bit clean freak and i hate having him around. Not everyone loves animals.