Private colleges run by the money what students give as fee. As the JEE Main is delayed due to pandemic, private colleges have a great opportunity to grow their business. If students get admission in a college before JEE Main they will hesitate to cancel the admission and in the mean time the private colleges will earn a great passive income.

Suggestion : Don't take admission in a private college which is forcing to get admitted. Clearing JEE is the best option to opt for B.Tech. If you have no option rather than getting admission in a private college, go to a reputed one, otherwise your parent's money and your efforts will go in vain.

Wait for JEE. Write the exam and after the declaration of results decide what to choose. There are too many changes in human life. Keep calm and have patience. Everything will be fine some day.

Best of luck for your upcoming future ! I believe you will crack JEE.