I'm type 2 but since my symptoms started a year ago, I've had bad stomach cramps with urge to go to the toilet suddenly, and it has to be fast! Lol, I think it can go hand in hand, was only diagnosed this year and started on metformin so it can't be that, tho I'm sure it does not help, but get it whether I take it or not.
As you r type 1 I'd hazard a guess that it 'may' have some auto immune link, so celeiac could be likely, certainly worth ruling out by a blood test while u are still eating gluten. I've known a few celiac and life improves dramatically once they were diagnosed.