Then now the remaining soap that i didnt wash from my hands dont lead to wrinkles ? and i have to wash my hand in normal way and dont take too much time to get rid of the remaining soap even if it is not rinsed well right ? and thank u alot !

Right on both counts: Here's what to think from now on (for anyone in such a situation): in everyday life, washing gently and briefly with just water is usually fine. To be more thorough, or to get dirty stuff off, a mild soap is helpful. When buying soap for the home, avoid the "antibacterial" label so to avoid extra chemicals. When leaving a public restroom, use a paper towel to open the door (so hands stay clean).