Hello and welcome to the forum
. There’s no reason at all that this should affect your cycling. At some point you will require insulin to manage rising blood glucose levels so you will need to plan ahead at this point and ensure you’re carrying a good supply of fast acting glucose to threat hypos as well as adjusting your insulin to manage exercise - runsweet.com is a site developed by doctors to help diabetics who exercise and should help give you good pointers.
I run, cycle and swim and am fully dependent on insulin and although I can manage to do these I still have to plan carefully around each to avoid going low/high, but refuse to let anything stop me.