@Marcia99 , looks like you are brand new to Airbnb - welcome! Lots to learn, do that first, and then you will be more comfortable. what kind of request was it? just someone asking you questions, or was it a valid booking? did you try to message through the Airbnb platform/message system, or did you try something else? Stay within the Airbnb platform and all messaging goes through just fine.
Yes, As you have read in other comments, some of us hosts don't like the fact that dogs, cats, and wedding cakes are being used as profile pictures. You can put it into your house rules that guests need to have a clear profile picture of themselves, then any guest not doing that is breaking your house rules and Airbnb will back you up.
In any case,I think it would be a real good idea to throughly study and learn all Airbnb rules before you have your first guest. Also, take some time to refine your listing, more and better pictures, make your place look inviting, the bedroom just showing a mattress without a cover or sheets isn't doing it for me.good luck!