As long as both of you are cool with it then I dont think it's a problem. It seems you're both comfortable around each other in T and in public. My T recently invited me to her church and I went one time. It was okay, but I was on high alert since I knew she was probably there somewhere. I've not been back since. It wasn't a bad experience, but it wasn't great either. I fantasize about T being in my real life, but when it happened it wasn't a big deal. Sort of ruins the fantasy for me. If you can both handle it then I think it is appropriate.