I feel like I'll get wrinkles around my eyes when I remove my eye makeup.

When I wear eye makeup, I remove it with eye remover.

I soak a cotton pad generously with cleansing oil, place it on my eyes for just a few seconds, and then wipe it off; however, I find that I have to rub vigorously to remove any residue that remains or doesn't dissolve. I've been doing this frequently for several years now... but I'm worried because it feels like wrinkles are forming more and more. How do you remove makeup without irritating your eyes?