Assalamualaykum wa rahmatullah sister,
InshaAllaah I do believe that you will memorize the surah in no time. Im not an arabic speaker either. So we're in the same boat. When I was in boarding school before, we used to recite surah Al-Mulk every Jumaat's night during halaqah (that would mean on Thursday but Friday night).
And when you recite the same surah for numerous times even without the intention to memorise it, InshaAllaah the words will just come out of your mouth. But of course memorising by heart will ensure that the memorization last longer. InshaAllaah.
All the best sister.
Wassalam.