Hello,
My field is College Admissions and I am a huge Study Abroad advocate. If your daughter is mature enough to request such an experience and you have the ability to support her, please consider doing so. It is my strong belief that she wants the experience not just for her college application but for her life experience and personal enrichment; and she is a very smart young woman and she is trying to present it to you in terms she believes you would support -- it will look good on my college applications. There are huge benefits to studying in other countries -- seeing beyond your immediate world, independence, adventure, cultural understanding, empathy, and self confidence. Statistics show that students who study abroad in high school adjust to college life much easier and faster than students who have not had this opportunity.
A lot depends on the type of colleges she will be applying to her senior year. Some schools admissions process is purely done by numbers. Most Liberal Arts Colleges do look at the whole student; having the self awareness that comes from having studied abroad does make a candidate's application stand out.
You have a daughter who has taken on the challenge of studying Chinese and has requested to study in another country. I suggest you have much to be proud of. I also think that a Semester at Sea or one of the hundreds of programs for Americans high school students to study in other countries is truly one of the greatest gifts you can give your child.
Maybe there is a compromise the two of you can come up with. There are programs in other countries for quarters, semesters and the whole academic year. There are programs with home hospitality and the student goes to a local high school and is possibly the only student from America at the school; there are programs where all the foreign students take some classes together, in the style of an ESL class; and there are programs where the high school students from America are together in dorms, take classes together, and these programs supply strong staff as advocates for the group of students. Maybe you can find one where she is in one country, like England, but able to be in a Chinese community to strengthen her unique talents. Whatever style of program you and she select, please choose an accredited program and don't just send her to a foreign country to live with friends of friends. A lot will depend how she does academically in the other country and if she is in a program that supplies academic support for the foreign student she will be more successful than if she is just enrolled in a school in another country and left to her own devises. A formal program should have staff with experience in making sure all of her academic needs are met and all her credits will transfer properly.
If you have the ability to support her in this dream, PLEASE CONSIDER GIVING HER THIS GIFT OF A LIFETIME. She will always be grateful and it will make her an even better citizen of the world.
I would be glad to speak with you further if you would like. Send me a private message and we can connect.
Good luck with this process.
P.S. Why don't you or have her call the Admissions Offices at some of the colleges you think she might apply to. Please contact Pitzer College http://www.pitzer.edu/admission/ which is only an hour drive from Los Angeles. I used to be an Admissions Counselor there and from the little bit I now know about your daughter the Claremont Colleges might be a great match for her educational style and adventurous spirit. Studying Abroad is very highly regarded by those reading the college applications at these schools.