I do agree with what you said in your post. The kilt does not define you, nor does your heritage. These are only parts of a whole that is uniquely you.

Without knowing her, I couldn't say for sure but I'm inclined to agree with davedove. Sounds like she was feeling you out to show an interest. Girl's tend to be very on guard when they are trying to get a guy to ask them out. We are just as much afraid of rejection as men are.

My suggestion:

When you see her next, be polite, SMILE, and start up a neutral conversation. If she is genuine she will join in. If not move on and don't worry over her. But always be proud of who you are and that quality that separates you from everyone else.