Why would a guy not answer yes to being asked if he has a girlfriend when he does?

Anonymous

So my (20sF) boyfriend (20sF) of 2 years says a girl at work has been flirting with him and asking him out, and I guess she ended up asking him if he has a girlfriend. Apparently his response was "I don't date coworkers". I got upset because he could've just said yes, why is he trying to keep me a secret? I told him that it makes him seem like he is single and that she still has a chance if she quits or something. He only responded with saying he does not talk about his private life. How is just saying yes and being truthful talking his private life? Is it nothing I should be worried about if he didn't answer clearly? I guess I don't know how to feel cause he really saw nothing wrong with his response, and now I'm thinking that maybe I'm wrong for being upset

Why would a guy not answer yes to being asked if he has a girlfriend when he does?
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