help pls changing surname

[Wondergirl]

hi input pls. I got married last yr since my citizenship is close to be done that time so i didnt update my status... so i got my citizenship last week i wonder if i need to change my certificate coz i change my surname to married name... or it doesn’t matter i am going to get new passport nxt week i was bit confused pls input... or its ok to be different surname in my certificate and my passport? maybe somebody knows answer thanks