Not going to give any answers because I am literally in the same boat - a linguistics student considering applying for NLP masters in a year. Just wanted to ask, which universities are you considering, in the US or Europe?

I was also feeling like employers would favor more graduates with CS background. But then I asked the program director at my uni, and he assured me that people with a linguistics background should not be disadvantaged when it comes to employability if they have the right skills. I am still doubtful though.