I'm Lucy, and I'd be happy to answer your questions today. I'm sorry to hear that this happened.
You definitely want to talk to the landlord, because he's responsible for replacing the shower door, even if he didn't have any possible way to know that this would happen. That's not something you should have to pay for - but if you don't tell him, he could take the cost out of the security deposit when you move, because he'll think you broke it. Legally, he's only responsible for your medical bills if the facts suggest that he knew or should've known that the door presented a danger to people. If there was a recall and the landlord was notified, then he would have to pay your medical bills, so you may want to do some research to see if this particular door was recalled. If it was, the landlord was probably notified.
The landlord may also be able to tell you who made the door so you can contact them and report what happened. If the door was installed within the past 8 years, the manufacturer could be responsible for your injury under the law of strict products liability.
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