They like it because there is no pressure to force conversation. In other words, there are no awkward pauses, and if she doesn't like where the conversation is going, she can just stop texting without feeling guilty or awkward. Furthermore, girls text a lot with their friends, also, so they are used to that form of communication.
Personally, I also dislike texting. But so many girls text that I've been forced to integrate it into my game. If you understand how it works, you can actually use it to your advantage. Check out these four youtube clips from Julian Foxx and Vin DiCarlo for texting tips.
http://youtube.com/watch?v=fdaq3tBUKbY
http://youtube.com/watch?v=WvFaTLq1PiM
http://youtube.com/watch?v=bT0-RUqWq_E
http://youtube.com/watch?v=lDzT-QcoZ-U