In the Name of Allah, the Most Gracious, the Most Merciful.
As-Salāmu ‘Alaykum Wa-Rahmatullāhi Wa-Barakātuh.
In the inquired scenario, mere embarrassment or fear that your family may discover that ghusl is necessary is not a valid excuse for tayammum. In that case, you must perform ghusl and offer the Esha Salaah.[1]
Any prayers missed while in the state of Janabah must be made up (Qada). Intentionally missing Salaah or delaying it from its prescribed time without a valid reason is a grave sin. Therefore, you must repent sincerely to Allah Ta’ala for missing or delaying Salaah, resolve not to repeat this, and make every effort to perform your Salaah on time.[2]
And Allah Ta’ala Knows Best.
Abdour-Rahmaan Lim Voon Heek
Student Darul Iftaa
Port-louis, Mauritius
Checked and Approved by,
Mufti Muhammad Zakariyya Desai.
https://iftaa.co.za/9287/tayammum-in-place-of-ghusl-due-to-embarrassment-or-fear/