句子出现你所谓的两个动词是完全正常的。

这里的 feel 其实是省略 to 的不定式，用作宾补。

类似例句如：

He made me feel an awful fool. 他让我感觉像个大傻瓜。

The very thought of food made me feel ill. 一想到吃的东西我就恶心。

That just made me feel even worse. 那只让我感觉更糟糕。

It made me feel almost like a hostess.  这使我感到几乎像个女主人。