Is my landlord required to replace my front door?

http://www.ohiolandlordtenant.com/revised.html

- 5321.02 Retaliatory conduct of landlord prohibited.

- (1) The tenant has complained to an appropriate governmental agency of a violation of a building, housing, health, or safety code that is applicable to the premises, and the violation materially affects health and safety;
– (2) The tenant has complained to the landlord of any violation of section 5321.04 of the Revised Code;

5321.04 Obligations of landlord.

(A) A landlord who is a party to a rental agreement shall do all of the following:

(1) Comply with the requirements of all applicable building, housing, health, and safety codes that materially affect health and safety;

(2) Make all repairs and do whatever is reasonably necessary to put and keep the premises in a fit and habitable condition;

Enjoy! It is your right to have every one of those things fixed by her. You do not have to pay a dime.

Check your rental agreement, it should discuss repairs in it.

Here you go. Particularly note 5321.04(A)(2) @squirbel quotes above. Although “habitability” is generally a question for the courts, I can almost guaranty that having a door is a prerequisite for habitability. The landlord may also be liable for anything that is stolen from you or harm that comes to you if you don’t have a door.

You can also repair the door yourself, and it is likely you’ll be able to withhold rent for this, and the landlord cannot evict you. Unfortunately, I doubt you’ll get (if you even want it) a new lease if that happens. ;-)

Yes she should fix your door.
Do not stop paying rent, not unless you have it in writing that the work comes off your rent. A verbal contract or just because she is supposed to, is not reason to stop paying and break your lease. Your lease will tell you what you can do if she refuses to make your home up to city codes. Calling the codes dept. in your city will tell you what the rules are. You can also ask them for an inspection of the premises.
Code violations, depending on severity, can do anything from shut her down to fines or jail time.

Yes. Read the Ohio landlord/tenant code as cited above. AT the very least, in every state, a landlord has to provide habitable rental residential space. The inability to secure your residence renders it to not be so. This is my personal opinion, not legal advice.

You never just stop paying rent. If you want to seek legal advice you can set it up so you are paying your rent to an escrow account (showing your good faith in paying the rent, but it isn’t going to the landlady until the problems are fixed).

I don’t live in Ohio, but just about every state has laws governing the responsibilities of both tenant and landlord. Basically the tenant is required to pay the agreed upon rent in US dollars, and not destroy or devalue the property, or make the property a public nusance. The landlord in return is required to provide a safe and livable dwelling that is up to current local saftey and building codes.
The front door you describe does not sound safe or up to code. If you put the landlord on notice that you are contemplating have the unit inspected by your local building code official she may get off her duff and fix/replace that front door.