Can you get bleach out of clothes?

I'm pretty sure that once you get something like that on your clothes it will take the color out and you won't be able to get it off, but I'm desperate.

My dermatologist gave me a cream that I think contains something like bleach because I have a very small area on my face where I need to apply it, not all over but, as I said, on a spot because I have something there.

I forgot to apply it last night, so I did it this morning. We got back from vacation yesterday, and I had all my liquids in a bag. I took it out and wanted to use my cream, but something else that was probably sharp poked into it, creating a hole, and the cream got everywhere. I then washed it off and unfortunately accidentally got a tiny bit on my T-shirt. It was only a tiny stain, and I simply wiped it off with a bit of water, hoping it would go away. But that made the stain even bigger, so I quickly took it off and washed it with soap, shower gel, and other things, but it was already too late. The T-shirt was olive green, and now has a stain on the front about the size of two one-euro coins.

It wouldn't be that dramatic, but my mom really liked the T-shirt because of the print on the back and it looked good on me. I can't buy it again because we brought it back from our vacation in the USA. I'm afraid to tell her because she'd be so upset. So, is there any way to make it at least a little better?