If we want to cite Howard Gardner's Multiple Intelligence Theory (1989) when answering this question, then the answer is that the Wife of Bath definitely shows evidence of interpersonal and intrapersonal intelligence.
Interpersonal intelligence refers to the ability to understand the way of thinking, desires, wishes, and wants of other people. Notice that the Wife of Bath is splendid in giving advice, does not refrain herself, and understands the sexual and amorous needs of people in general. She has no shame in expressing herself freely because she values what she says as good advice that others may not dare to give. As a result, she serves as a conduit that basically taps upon the real questions and wants of people.
The Wife of Bath also possesses an enormous deal of intrapersonal intelligence. This entails having knowledge about oneself, one's needs, desires, and abilities without being judgemental. As a result one puts oneself in a situation when one serves as a model to others because of being so sure about what we believe in. Again, the Wife of Bath has a lot of self-awareness and is quite acquainted with her own wants and needs. She uses herself as a model to be followed because she has no shame about her feelings an opinions. This self-actualization is what frees her from caring about social scorn and what motivates her to be who she is regardless of whatever anyone else thinks.