Short answer
Family reputation alone should not become an excuse for unreasonable delay or preventing a suitable marriage.
Islamic Guidance
What Islam teaches
Islam encourages lawful marriage and warns against allowing social pride and unnecessary obstacles to interfere with family life.
Practical Guidance
What you can consider
Evaluate practical readiness honestly. Do not make the couple's future dependent on satisfying every relative's expectations.
Sources
Qur'an 24:32.