BF ego problem

(I posted this in the general column, too...looking here for female perspective...any girls out there ever go thru something like this w/their guy? I could use advice! :-)

I have a problem w/my BF's ego. A few weeks ago I finished taking beginner level judo classes and earned my yellow belt. I really enjoyed the classes and found i was pretty good at it, even tho' i'm not really muscular (i'm tall, 5'9", but slender, and weigh about 125lbs)...plus i'm a pretty girly-looking girl..i wear my hair long and like dresses, etc., and I am considered a "looker."

Anyway, b/c of all this,my BF didn't take my classes very seriously and when I told him i got my yellow belt he just laughed. A lot. And when he was done laughing, well, I was kinda mad and so I challenged him to a wrestling match.

We're the same height but has at least 40lbs on me, and he didn't want to do it at first but after I said 'your just afraid of losing to a girl' he was like, "OK, let me teach you a lesson'.

So we moved some firniture out of the way and we got going and he didn't try very hard at first, b/c he just didn't think he'd have to!

But then i tripped him w/a leg sweep and he went down on the floor, and I could see his face get all red and when he got back up he started trying really hard to beat me. Well, long story short, I kept using throws and leg sweeps to send him to the floor, and waited til he got really tired, and then when i could tell his strength was running out, I kept him down on the floor and after a fairly long struggle, I pinned him!

So i had a little laugh at his expense and said "I hope you learned YOUR lesson", but since then he hasn't let it go, and kept after me for a rematch, saying "I got lucky", etc...so last week I finally said "OK" to one more match b/c he wouldnt stop asking, and, yes, I beat him again.

Now he's TOTALLY bent out of shape and keeps trying for another match to prove he can beat me and I need help b/c I'm sick of his attitude!

Was I wrong to defeat him?
Should I just fake it and let him win?
I keep telling him it's just b/c I know judo and he doesn't but he's still

(also, when I suggested we take classes together so he could compete w/me better, he said "I don't need to know judo to beat a girl!" )
what should i do???