Leather is surprisingly durable. I'm stunned at how much abuse it will take and still bounce back to it's former glory. When at a horse show and having forgotten my tack cleaning supplies, I've used a baby wipe to remove the sweat and spittle from my Hermès saddle or bridle before stowing the tack for the journey home. Once home, I've cleaned it properly with glycerine saddle soap and water, and then followed up with a leather conditioner. No harm, no foul.
You'll be fine. But in the future, stick to a wipe specifically made to care for leather. And consult
@docride's threads for more in-depth care advice.