Chagrin means distress or embarrassment at being humiliated or failing. In this sentence, the father has a very bright and different style, but not always for the best. Her father's style is wacky and sometimes embarrasses her, but a lot of the time him.
<h2><em><u> a cat must use all her hunting skills and feline cunning to survive the coming winter. But her situation worsens as first a large storm brings an invasion of rats</u></em></h2>