The correct option is E disguised disapproval
The Lord Mayor knows his daughter is not suitable for the Earl's cousin, but he is also aware that she deserves better than a shoe-maker. Through downgrading his own daughter, the mayor disguises his disapproval to Lacy's suit. Therefore, option E is the correct answer. The statements of options A,B,C and D are incoherent in context to the text, and therefore, incorrect.