The blood may not necessarily be from your bladder, it could just be vaginal atrophy....I say 'just' but I'm not dismissing your symptoms or your anxiety. Both are horrible for you. The investigation is quite normal, and referring under the 2 week rule is standard. However, at the moment (post pandemic) most referrals are a little delayed while the NHS try to catch up. So don't be too concerned if it's more than two weeks, equally if you haven't heard in 3 to 4 weeks you can always phone the hospital.
Let us know how you get on.