You got off easy. NEVER, EVER BRAG TO YOUR WIFE ABOUT SUCCESSFUL BIKE REPAIR. Knowing you're newly discovered skill she'll immediately come up with a list of home repairs. Or go the other way, saying something like, "Since you're so mechanical, why haven't you fixed the ....... yet?!"
Either way, you have absolutely nothing to gain by showing off mechanical expertise.
Not true if your wife is a cyclist and appreciates your skill in this regard

. Otherwise, yeah - I wouldn't advertise it.