Final answer:
The woman in this case has unilateral sensorineural hearing loss, which is characterized by a failure to lateralize during the Weber test and better perception of air conduction than bone conduction. This type of hearing loss is caused by damage to the cochlea or associated nervous tissue.
Step-by-step explanation:
The woman in this case has gradual hearing loss along with difficulty discriminating words. The Weber test reveals a failure to lateralize and the woman's perception of air conduction is better than that of bone conduction. These findings are indicative of unilateral sensorineural hearing loss. Sensorineural hearing loss is caused by damage to the cochlea or associated nervous tissue.