(Shameless Udon Promotion!)
Watch this and then go eat udon!!
What's the best udon shop in Kagawa?
I recommend Baka Ichidai in Takamatsu near Tenmaya.
Angela F. replied:
If you can bear to explore beyond the boundries of Takamatsu, it's worth checking out Yamagoe in Ayagawa (http://www.yamagoeudon.com/), and Tanigawa Beikokuten in Mannou (http://www.tanikawa-udon.jp/tanikawa_home/tanikawa_home.html)