she talked in the way.
这是the way作为定语从句先行词的特殊用法,常常省略关系词that.
He didn't like the way (in which/that) she talked.
the way 后用 in which = that=不填
the way做方式讲，后边可以跟in which/that/+she talked ，也可以什么都不加，就像这道题目。
he didn't like the way that she talked
He didn't like the way (in which) she talked.