For me, yes, there'd be a massive ick factor. She comes down on the opposite side of the complementarian/egalitarian debate than I.
I don't know if there are other factors of ick.
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ENTP fits me to a T, though it took me forever to figure it out! DYT Type 3, Enn. Type 1 (hold that thought...enneagram crisis...might be a 7!)
Sparks (9) ;
Spitfire (8);
Sprite (4.5)