Despite her busy schedule, she always finds time to be affectionate with her family.

affectionate 是形容词，来自名词 affection（喜爱、爱慕之情），加上形容词后缀 -ate 构成，表示“充满爱意的、温柔亲切的”。在这里形容对家人表现出关爱和温柔的态度。