Everyone here is right - there's no need to worry!
Chances are, your hands will eventually get a little bigger, but even if they don't, it still isn't as limiting as you think

If a piece has lots of widely spread chords in one hand, you can often use the other to play some of it, if it's not too busy doing other things. Depending on what it is, you might even leave out a note from a chord - one that won't make too much difference to the sound. A lot of the time the listener "fills in" that note in their own head (if it's not too conspicuous), without physically having heard it
I don't have small hands but lots of my pupils do, and I think it's often more a case of using a different technique, rather than "stretching" the hands. Some will play arpeggios and forget they are allowed to move their hand as they play

If they complain about the stretch, it's usually a case of them still being over the bottom note while trying to reach the top one.
Not sure how to get over the consecutive octaves if it really is a problem with reaching. You could try moving you hand a little further into the keys? If all else fails, just play the notes singly on whichever end of the octave fits the piece best - it's not a catastrophe