I hope she will stop to listen to me.
应该翻译为
“我希望她能停下来听我说话”
还是
“我希望她停止听我讲话”
stop to do sth=停下来去做某事(不定式是目的状语)
stop doing sth=停止做某事(动名词是宾语)
你的句子意思:我希望她能停下来听我说话。