It has been weeks since i am asking my neighbores on daily basis to be quiet a bit so i can sleep (and they never bother to care or even lower thier voice) to they are very loud from morning to 4am so 2 days ago at 2:30 am i went to tell them that i cant sleep at all , they started telling me stuff like "oh , so are you going to say that everyday ?" And "we study at night too , you are not the only one that studiest at night" and complete bs so i just found myself yelling and i remember insulting them by saying to one of them "idiot , stupid" and then when i went back to my room i heard them from my window still talking loudly so i shouted and said " you are a bunch of disabled retards" then 5 minutes later they told my mum that i  insulted thier religion and i am pretty sure i didnt say one single swear word neither insult anyone's religion  and my mum didnt believe it anyway (they are still kind of loud anyway)


TL;DR neighbores being loud till 3am everyday , i ask them to be quiet everyday and they just never lower thier voice , got sick of it and shouted at them then they told my mum that i insulted thier religion and mum didnt believe it anyway + they are still kind of loud anyway


Also i want to know if i should apologise or not? and yes i tried white noise closing the windows.