Or try a different UU church. There are some differences - some UU churches are definitely Christian in outlook, some are not.
But also do some research on the UCC church you go to - while most are progressive/liberal/open, there are a few hundred that are conservative, some very conservative. If you see the church is affiliated with the BWF (Biblical Witness Fellowship), steer clear of that one - that's our hate-based theological movement in the UCC; people who like the southern baptists and criminal assholes like Dobson and Falwell. The BWF's almost entire reason for existence is to be anti-gay and pro Creationism. An Open and Affirming UCC church will definitely be a good one (that means they're gay-friendly). A Welcoming and Faithful one can be hit or miss - it's a movement trying to ply the waters between BWF and Open and Affirming, but generally comes down on the conservative side in terms of homosexuality (though not as far as the BWF - Welcoming and Faithful isn't specifically anti-gay, but it is rather anti-pro-gay, if that makes sense).
Go to the UCC website, and you can check out (sort of) all the churches - most will list whether they're Open and Affirming or BWF; and if they have their own website, it will be listed, and of course you can get much more info on their own websites.
http://www.ucc.org