They have a responsibility for everyone they interview and hire. They have to make sure that they're hiring the right person.
The question might have been asked the wrong way.
What she probably should have done was stated the job responsibilities and then ask if you can do those jobs. If there's a particular part that you cannot do, then it's up to you two to discuss how that issue can be resolved.
For instance, a deaf friend of mine applied for a job at Blockbuster Video. The person interviewing her stated the job responsibilities and then asked if my friend could perform these responsibilities. My friend said that using the phone was one thing she couldn't do. They agreed to let the other employees handle the phone calls. So, the other employees were introduced to her and informed in advance that she doesn't use the phone. That way, if the phone ring and she's standing next to the phone... they know that they need to answer it, not her.
