doesn't matter what you say.
the fact that you are looking her up, and care what she thinks of you, and seem to genuinely like her, will be a great compliment for her, and tickle her pink and she will think, this is a great guy, isn't he...
why i would say, it was intimidated and not disinterestedness.
why would she avoid eye contact with some guy she hardly noticed, when girls do not really like guy, they are pretty polite and casual about it. coz they do not think anything of it.
you obviously like her, so you tried to establish a communication and rapport, so if she was really not into you she would discourage your advances in some obvious way, not avoid looking into your eyes...
unless she is both shy and 5, which i hope she isn't...
if this makes any sense, coz it's true, if she was really that unimpressed about you she would be looking you in the eyes or not avoiding it and talking, lol