Levite
Higher and Higher
I'm sure you've been told this but... your conversion is nobody's business but your own. Unless you're preparing to marry or adopt or any other such bond with a member of that shul, nobody has a right to ask you anything. In fact, even if they suspect you're a Ger it's totally against halacha to ask you, or even hint at this, lest they shame or otherwise embarrass you. There are 'certain people' for whom a person takes their life literally in their hand by offending. These 'certain people' are the Orphan, the Widow, and the Ger. Since they are alone and are so vulnerable, G-d is their protector, and best not provoke G-d by mistreating them!
Yes, this is very true, Dena. It would be awful behavior for them to ask you about your status.
It does happen sometimes that non-Orthodox Jews decide to go to Orthodox shuls. Usually the Orthodox are quite respectful. At worst, they may see it as an opportunity for kiruv. But don't let it worry you. You have every right to try out different shuls.
It is true though that you won't find a lot of Traditional Judaism shuls around. They are great when you find them (though I also think they could be a bit more egalitarian), but they are rare. The Union of Traditional Judaism (the name of their mini-movement) was begun in the 1980s by right-wing Conservative Jews who left the Conservative movement in anger, when the Conservative movement began ordaining women. It is very unfortunate, since, although I certainly disagree with them about that, they had very productive opinions about other matters, and the Conservative Movement is poorer without them. They thought that Modern Orthodoxy would end up losing its left wing to them, but the Modern Orthodox hung on to Orthodoxy quite tenaciously, and the rest of the Orthodox didn't end up considering the UTJ any less heretical merely for splitting away from the Conservative movement. So the mini-movement kind of fizzled.
You can still find some TJ shuls, mostly in the Northeast and northern Midwest, and they're delightful. But they are few and far between.