I do not know all of the facts, but generally, your lease terms will supply some type of guidance as to if there are consequential damages (an increased electric bill because of your A/C problem) allowed. It is a toss up in a court case whether or not the judge finds that the Landlord was at fault for the increased bill and award you a judgment for that cost. If there are more facts that suggest the Landlord was not responsive in making the repair your chances for recovery are better.
you should completely review Real Property Article 8-211 to determine if the Landlord somehow breached their duty to provide appropriate repairs of the defect(s). If you get your claim amounts high enough you can go to District Court against your landlord and request money damages. For only $100-200 it may not be worth the hassle; but if you have more claims or issues and you have properly notified your landlord/manager of, an they have been unresponsive, you have the right to withhold rent and pay that rent into a rent escrow at the District Court clerk's office pending resolution of the dispute. Let the statute be your guide and make sure that you completely document all communications of broken item and issues with the landlord, that way you will be ready if you have to go to court.