My ex-GF is 5' even. She rode the smallest size available in 2011. Can't remember if that was 44cm or 42cm. Either way, I am wondering if a 46cm would be too large for you.
The specs I found on line show the LHT with a 30x36 low gear. The 2018 Trek with a 26x32 low gear. Haven't done the math, but I am not sure the Trek's low end is lower than the LHT's. In any event, it's easy and cheap to drop the 30t small ring to a 26t, 24t or even 22t. I went from a 26t to 24t a while back.