I've gone into a bank to deposit checks and cash and I've also gone through the drive-thru to make a deposit. I use my Florida ID with my female picture on it and I've never have any issues. I've been to the ATM dozens and dozens of times where there were other people using it or waiting to use it and, again, I've never had a problem or a bad encounter with anyone.
Don't make a big deal about it and just do it like any other time you've been to the bank to make a transaction. It's a piece of cake.
Hugs!
