I’m writing you privately because discussion in Challenges is better taken to another topic. Once you reply I can make this into a new topic with ties back to the Challenge topic. This way it does not interfere with the flow of that topic and we can extend the discussion, if it comes to that.

for q in range(1,101):
if q%3 == 0:
print('Fizz')
if q%5 == 0:
print('Buzz')
if q%3 == 0 and q%5 == 0:
print('FizzBuzz')
if q%3 != 0 and q%5 != 0:
print(q)

The aboue will print,

Fizz
Buzz
FizzBuzz

for all values divisible by 15. All the branches are exposed and mutually independent.

if ___:
elif ___:
elif ___:
else:

Now each branch is isolated and only one can be followed for any single value.

As for this line,

if q%3 == 0 and q%5 == 0:

it should appear first in the list, and can be simplified,