The interest-rate opinions of the favorite to succeed her are less clear. 想問這裡的of the favorite to 是什麼意思呢？

favorite 在這裡的意思是關於某個職位或比賽「最有望贏的人」、「最被看好的人」。

to succeed her 是不定詞片語，修飾 favorite，意思是「將接任她職位的的」。 the favorite to succeed her 一起看，就是「最有望接她職位的人」。

再繼續往前看，the opinions of the favorite to succeed her 就是「最有望接她職位那個人的見解或主張」。

理解這之後，全句就簡單了：

The interest-rate opinions of the favorite to succeed her are less clear.
這位最有望接她職位的人，對利率走向的主張（究竟如何）不是那麼清楚。

What the person should give for unfair advantages, Or give what favour to on the assessing value for her boss=unclear.