SE Student-Visa, leave Taiwan and come back?

Hey,

So I just arrived in TW last week. Got my student visa in HK and everything was cool. Didn’t think I’d have to leave Taiwan for the whole semester so I just got the cheaper single-entry one, but now just a week later I’ll have to leave Taiwan for a week before school starts!

Of course I’ll have to apply for a new visa once I leave TW, but what I’m thinking is could there be a problem coming in to the TECO with the same documents as three weeks before? School enrollment documents, financial statements etc. and I also have the old visa in my passport. :eh: