You have the stats of one of the most attractive skinny guys I’ve been with. I was also way skinny at that point in my life (5’9" 115lb - I am 150 now at midlife and people seem to see even this as thin somehow, I don’t understand it), which made things a little awkward but I really think very tall and skinny is one of the ideal body types for a man, and you are so tall I think most women would perceive you as ‘bigger than them’ even if you are close in mass.
Also the best lover I ever had was a guy a couple inches shorter than me and whip lean and not even socially ‘normal’. Husband now is my height, strong as fuck and padded, and like OP seems to fear being ‘skinny’, as a lady this is an almost incomprehensible fear, I have feared being fat always but skinny is fine.