I don't think it's petty. To win the war against Social Anxiety you have to win lots of little battles first.
Well done and maybe try and push yourself to have little conversations like that every day.
"The really important kind of freedom involves attention, and awareness, and discipline, and effort, and being able truly to care about other people and to sacrifice for them, over and over, in myriad petty little unsexy ways, every day. That is real freedom. The alternative is unconsciousness, the default setting, the "rat race" - the constant gnawing sense of having had and lost some infinite thing." (David Foster Wallace)