I'm attempting to catch-up, so please forgive me if this idea has already been thrown out: It occurs to me that Mrs. Clay is included in these first chapters to show a living example of what could have happened to Anne if she'd married CW without enough money to live on and he was killed in action; "a daughter of Mr. Shepherd, who had returned, after an unprosperous marriage, to her father's house, with the additional burden of two children."
The funny thing is, JA never mentions this aspect outright--it is the aspect of Mrs. Clay's intimacy with Elizabeth that LR finds disturbing. JA just puts Mrs. Clay right in front of us and then leaves us to find the connection. Very sly...