Lady Bracknell vehemently disapproves of Jack's proposal to Gwendolen, immediately dismissing him as an unsuitable match due to his lack of a proper family background and his invented name "Jack Worthing," effectively putting a stop to the potential marriage with a series of critical and condescending questions about his social standing.
Disdainful interrogation:
She launches into a series of inquiries about Jack's family history, clearly not satisfied with his vague answers.
Social snobbery:
Her primary concern is Jack's lack of social standing and pedigree, considering him not "eligible" to marry her daughter.
Controlling nature:
She asserts her authority by attempting to completely veto the marriage, demonstrating her strong desire to control Gwendolen's life.