You should be fine shooting it after that super glue dries and cures out 24 hours..... You bet bows soak up water from the air regardless of how well they are sealed.... I build my bows here in Oregon and every stick of lumber in my shop is 12% in winter time. Even if i buy bone dry KD wood at 9% , after it sets in the shop for two weeks it will test at 12% on the top. I need to bring my freshly laid up risers into my spray booth that i keep heated to get the MC levels down before i work with them. Even after a riser has sanding sealer and its shaped, i let it set a couple days at 80 degrees before finishing, and a lot of them develop checks or small cracks that need to be filled before finishing.... When i'm sending a bow to the dry climates like NM, Texas,Arizona, Nevada... etc...etc... I'll sometimes put the finished riser in my hot box at 100 degrees for a day to make damn sure its dry.... This is critical using G-10 in a riser.... I've had quite a few come back for crack repair that i didn't get dry enough.
I had a Black & White ebony bow i built in 2012 that stayed perfect for 11 years until the guy moved into a place with gas heat that was much drier heat, and it checked in several spots. I was able to get them filled in and refinished the bow with no problem... But it happens.... The same thing will happen to fine furniture sometimes when people move.
Kirk