Be aware of these now before you decide to seriously date or even marry her.
They have wonderful traits that you'll find yourself loving but bring emotional challenges.
On the flip side they will be more conservative than you'll expect. In my experience I wish they had the bubbly light heartedness that Korean women or the cosmopolitan view that many Hong Kong women have but you don't alway get what you want. You might find one who actually does have those two traits.
In that case consider yourself lucky...she's a keeper!
If it ever does I recommend taking a big breathe and becoming as diplomatic as possible.
At first you'll find seeing her regularly quite endearing.
Most of them are well-educated and you will find yourself having more 'Western-style' conversations with them (debating, current affairs,etc…)This is great because you'll have less of a cultural transition to make than if you were meeting someone from Mainland China (for example.) So besides interacting and dating Taiwanese girls - let's talk about why we recommend Taiwan!
They actually get proactive invite you to things to make you feel better. You won't find that generally in other parts of Asia based on my observations.
If you've made her lose face in public or in a fit of anger told her that you don't want to see her again...she'll remember (which is quite typical.)You're probably thinking "Well, gee this is like women back home too! This is different from Korean women who'll more likely confront you or Japanese women who will just keep quiet about it (yet take in the grudge more deeply.) In fact if you can notice when a Japanese woman is annoyed by just looking at her then you've got a 6th sense!
Get to enjoy how sweet she'll be (as she brings you a surprise bubble milk tea for example) but be careful when your Western confrontational side wants to kick in.
If you find yourself in the smaller cities (like Kaohshiung or Taichung) it might not be as available.
So you don't need to speak Mandarin to meet and date a Taiwanese woman.