I define choosing as having multiple options.
Yes. Choose means to pick from more than one possibility.
So getting back to the question I asked, if you say you choose to believe your wife loves you, that would mean you have the option to believe she does not.
Yes. I have the ability to choose to believe she doesn't love me.
In order to have the option to believe she does not love you, you must be capable of believing she does not.
In order to have the option to choose to believe she doesn't love me, I must be capable of choosing to believe she doesn't. I don't have to be able to believe she doesn't love me. I only have to have two or more choices. And after knowing my wife for 22 years, I choose to believe she loves me. Just like you choose to believe God doesn't exist.
So getting back to the question I asked, and taking into account of what you currently know of your wife, and what you currently know of yourself; are you capable of believing your wife does not love you?
I think I see your confusion. You think that in order to be able to choose between two or more things, you must be able to believe them both.
That's just not part of choosing. Choosing is simply having two or more options. They can both be almost equal in their appeal. Or one can be almost completely unbelievable, which would mean the other choice would be the logical one.