You may wonder why I give her such credit. Firstly, she possesses admirable characteristics, explaining her prominence and deeply affecting my behavior.

表面上看，划线部分像是个悬垂修饰语。但实际上这是现在分词短语作句子宾语的非限制性定语。可以改写为定语从句：which explains her prominence and deeply affects my behavior. 因此这个分词短语不是悬垂分词，是正确的句子。