Many of the tales in Chaucer’s The Canterbury Tales are especially suited to the characters who tell them. Explain how this is the case with one of the tales and its teller. How does the tale suggest aspects of the teller’s character as revealed in the tale’s prologue?

The Wife of Bath's Tale is well suited to her character. In her tale, the protagonist, a young knight, is condemned to death by King Arthur. Guinevere, however, is able to persuade Arthur to let her pass judgment on the man. She tells him he has a year and day to find out what it is that women most desire, and if he succeeds, she will spare his life. The knight travels far and wide but cannot discover the answer. Finally, he is forced to promise an old woman that he will do any favor she asks in return for the secret. She reveals to him that women like above all to rule over their husbands.
The ladies of the court agree that this is the correct answer. The knight is freed but forced to marry the old woman who helped him. On their wedding night, she tells him he has a choice: she can either be beautiful by day or by night. Which does he prefer? He tells her she should decide. Since having power in a marriage is what women most want, he is rewarded for deferring to her: she becomes beautiful all the time.
This tale fits well with the character of the assertive and colorful (and colorfully dressed) Alisoun, Wife of Bath. Alisoun is not one to sit meekly at home, but rather a woman who seizes hold of life and gets out in the world, including going on the Canterbury pilgrimage. In the prologue, she argues against anti-female texts and uses the Bible to defend women's rights. She also has a history of taking charge of her life and her husbands. She says:

Of tribulacion in mariage,
Of which I am expert in al myn age
This is to seyn, myself have been the whippe.

She has been the "whip," or the one in control in her marriages, both in the bedroom and out. This strongly parallels the story of the old woman who marries the knight.
However, as with the old woman in the story, the Wife of Bath does not want to be in charge as much as she wants mutuality in decision-making, an equal relationship with a spouse, as far as that is possible in the context of her society.
The Wife of Bath also informs the pilgrims that she and her husband, Jankins, had a happy marriage based on equality once he gave her control of his property. She says,

God help me so, I was to him as kinde
As any wyf from Denmark unto Inde
And also trewe, and so was he to me.

Likewise, the old woman in the tale declares she will be "trewe" to the knight after he grants her decision-making power in the marriage.
We cannot know whether what the Wife of Bath says about her own life is entirely true or rearranged as she wishes it could have been, but her strong desire for marriage equality, expressed in the prologue, mirrors the equality the old woman achieves in the tale. Symbolically, the tale expresses what Alisoun believes, which is that being treated with respect and being granted some autonomy in marriage makes any woman "beautiful," both in the private sphere and in the public arena. She uses her tale to make a powerful case for women's rights in marriage being beneficial to both men and women.