Does Apollo’s passive break cap

No. The maximum cooldown reduction provided by items and buffs is 40% and cannot be increased further.

However, this does not restrict skills-toggled cooldown reductions.

AA stands for auto-attack. Because you don't have to click once every time your character is ready to attack, it is so called auto-attack.

However, there is actually two type of AA, Active and Passive in MOBAs.

Active: You selected a target and your character attacks the target.

Passive: Character that is idle will look for the closest target within attack range, then reach and autoattack (note- there is no passive AA in Smite).

In other MOBAs, passive AA is on, but can be turn off in settings. Another fun fact is I found that more DotA 2 players prefer turning it off, while more LoL players prefer leaving it on.