But it is pronounced like that, unless you spell it paedophile.
No, because then you’d pronounce it “paydophile”. But that’s irrelevant, since phonological pronunciation =/= correct pronunciation. You don’t say “thoe-ruff” for “thorough”, do you?
My English teacher last year actually said thuruffly 
Punch them in the throat.
If Cup o Joe was here, he’d recommend you some wonderful smoothies.
Cup o Joe has become a recluse ever since the last battering he took here.