I find it odd that she's lonely: there's been a sizeableJapanese community just over the George Washington Bridge in Ft. Lee since I was a kid -- [dinosaur rumbling noises] -- not to mention a shopping mall (which might be in Edgewater). Not to mention the hundreds of colleges in the NY metro area.
But probably she's training a lot, and when she's done she's pretty exhausted to go window-shopping or socializing with strangers. Depends on your personality too. I feel bad for her though; this teenager doesn't sound all that happy. I hope the overall effect of this social isolation is to help her toughen up her mentality, and not breaking down her motivation! A thin line indeed.