In order to be able to reply this, we need to separate a well-known recipe from something you have created. If the recipe is popular, other than the picture you have taken from it you will not be able to do much.
But if the recipe is brand new and it came from you, you will have the alternative. If you want to keep it a secret, try to tell the least amount of people possible, and have a DNA signed with them. You can, of course, come up with a name for it that you will be able to protect as trademark.
As far as copyrights, you will need to have this in mind. Ingredients are not something creative. You just follow the steps, and create something. However, if a recipe comes with the explanation or directions, or if you put together a few recipes and write cookbook, then there is basis for copyright protection. You must have in mind that if you want to keep them secret you should not do this, as applications and deposit copies are public records so everyone will have access to this.
Do you have any questions? Send me an email to maria@mjaintellectualproperty.com
Follow me on FB mjaintellectualproperty and IG: @mjaintellectualproperty