Hi there everyone!

I am now here in Uk for fiancee visa. Now i have trouble with the name that i am using now. let me tell you a bit of my story.
I am was married to an american before but the relationship didn't work out so we got divorce. Been using my ex's name ever since coz Philippines don't honor divorce. So i then i file a Recognition of Foreign divorce in the court back in Cebu. After i get the finality from the court. i didn't have time to change my passport as i have to go to vfs and lodge my application for fiancé visa.. Now my question is do i need to worry about this surname that i am still using (which is my ex's surname) when most of my papers here which has the proof of address i used is my maiden name. how can i change my name now that i am her in uk. i don't like to use my ex's name anymore but thats what is written in my passport.. pls do help as i am confused