First of all, what kind of business does you wife want to start?
Has she done the math, ran the numbers and it looks good, making sure to account for possible risks and deciding if there's a market or demand for the products that she intend to offer? If not can she create a demand?
How much does she need to start off, is it possible for her to start small with what she have or maybe save up a little bit, or even selling assets (such as stocks or bonds) and then start small and see how it goes?
Last thing you want is to go into debt and your business failing on you. It's like playing poker at Las Vegas!
DO NOT ever borrow from a loan shark, the interests makes credit card look cheap and you will be harassed, or possibly injured or murdered by gangsters if you don't pay.
In general banks in Taiwan doesn't just give a loan just because you want it. You actually need to prove that you are willing and able to pay it back. Even getting a credit card is a little more difficult than in the West.