i agree with sundog. and no, you are not a freak!! i do think tho the depression has intensified your feelings about this. i'm shocked your T had the reaction you posted. clearly this is something that you could benefit from working on in therapy. i'm at a loss...as i am sure you were too. but no, your loss is real to you. that is what counts.
i lost my father many years ago and sometimes a song or something will trigger my sadness that he's gone. i still miss him but over time i have become more comfortable with his not being here. in my case he was my best friend. i know i was fortunate to have that relationship with him. i went into therapy after he was 6 months gone cause i knew i needed help. i was about your age then when your dad died.