Essentially the queen of the snow people, Tsurara is pushing Mizore to make Tsukune her son in law. In part she just wants Mizore to be happy, the rest of it is a deep seated rivalry between Tsurara and Kurumu's mother. This was started in Tsurara's own high school days when she and Kurumu's mother fought over a guy in a humerous imitation of what happens with Tsukune. The absolutly hilarious part is that, in the first episode Tsurara appears in, the man that both her and Kurumu's mother fought over... was an orc.
In many ways, Tsurara is much like her daughter. shy, serene, and she always has a lollipop in her mouth, not to mention a habit of freezing anything around at random moments, and freezing hot springs to better suit her... When Tsurara has a large role in the anime is when she invites the school to her mountain for a day of "fun and relaxation". However, this was merely a front to cover an opportunity for Mizore to make Tsukune her's permanantly (as in sleep with him). In interest of time I will just say that it fails. Later, in the same episode, Tsukune gets lost in an avalanch caused by Kokoa. Tsuara and Mizore are the leaders of the search party. When they do find Tsukune the boy is being chased by an... "interesting" character. The thing turns out to be Tsurara's husband, and Mizore's father. At this point when Tsukune shouts "father" in Japanese there is some confusion with the word "breasts". Tsurara either actually thinks that he said the latter, or was just teasing him about it when she slips her robe off of her shoulder.