My first advice to you would be: Why are you trying to smooth it over at all? You are acting like you are on the defensive here - as in, "Oh no I did something bad and she's upset so now I have to fix it so she isn't mad at me and still likes me!" Don't do that. Re-frame is the first thing you need to do. You aren't trying to "get" her, you are trying to screen her to see if she's compatible with you. Do you WANT to date a girl who is going to get butt-hurt over the smallest things like this and come at you swinging for it?
Having said that, I'm not sure why you chose to send her that. I'm ok with sending memes and things like that, in limited quantities and depending on how long you've been seeing a girl, but when you start sending anything that criticizes a woman for her appearance, you run the risk of getting a reaction like this. I'm not at all saying you should tip-toe around women, but nothing good can come of this so why bother? What did you think she was going to say?
Next thought is that women who DO get really bent out of shape over things like this are generally women who have been really negatively impacted by third-wave feminism and the current social brainwashing, and they have a big chip on their shoulder.Their first reaction is to take everything personally and get really upset by it. It's a conditioned response and once they get into that pattern it's very difficult for them to change. If they can't laugh-off the occasional thing like this, and they instead respond critically to you by trying to shame you with their "disappointment," that is a red flag and the sign of a woman who is going to do similar things in different situations. Yeah, you probably shouldn't have broached that topic with a girl but once you did and she responded that way, I would have either gone silent until she sent another text changing the subject, or I would have said something like, "looks about the same to me" and then changed the subject.
