Dear Maxim:
I gave this answer recently, based on a bunch of people that I personally know who went into non-academic fields. By the way, and I should mention this because I believe it's extremely relevant, these are all people based in the US (almost all are foreign-born in case you're wondering). Working in a non-academic field with a math phd is a lot more rare in my native France; your mileage may vary extremely depending on where you're trying to get a job.
The thing most of these people had in common is that they researched really carefully the career they wanted to do, and they took classes relevant for that career. It does not seem to matter what kind of math they did, and I believe most employers are not too bothered by how theoretical one is (quite the opposite, I suspect they may eye "applied" math with suspicion, as being less applicable then they think they are).
Your biggest challenge when looking for a job is selling yourself: for a non-academic job, it means really convincing your employer that your heart is in that career, that this is not a second-best for you.
Edit: to comment on your particular case further, I think you need urgently to figure out which of these fields is the best one for you, so that you spend your remaining year as efficiently as possible.
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