I didn’t leave the Catholic Church, the Catholic Church left me.

Does that sound like something you could hear yourself saying? What about…? “I like the Catholic liturgy, but Rome’s take on homosexuality and the ordination of women is bullshit.” Or even…? “I still feel a strong cultural connection to Catholicism, but I’m not sure I believe in God.”

If any of those apply to you – this might be the Church you have been looking for: Holy Redeemer Parish, NAOCC, Wilmington, DE

What is NAOCC? I’ll let V. Rev. Patrick W. Gaffney and wikipedia describe it.

(In addition to what you wrote about Rome’s take on homosexuality and the ordination of women I would add) , we have married clergy as is our newly ordained transitional deacon here in Wilmington.

…though started in 2007, we continue to grow throughout the US. Many professionals, Phd’s, MD’s and JD’s, have joined us, some of whom have been ordained priests. One of whom is now our Archbishop Vicar Ubaldo Leli, MD in NY. Our presiding Archbishop Michael Seneco lives in Washington, DC with his partner and has a few times been invited and dined with the President with some social concerned groups.

Regarding the North American Old Catholic Church wikipedia says…

The NAOCC was founded in January 2007 at a meeting in Louisville, Kentucky. It is currently focused on training men and women with vocations to the independent priesthood in the Old Catholic tradition, as well as planting churches and parish ministries. As of January 2012, the NAOCC operates parishes in 21 locations, in addition to a primary care center and free medical clinic in Chattanooga, TN.
Practice

The NAOCC officially recognizes the Old Catholic Mass as its liturgy, but it allows local parishes to use traditional Western liturgies that are regularized in other churches, such as the Tridentine Mass, versions of the Anglican Book of Common Prayer, and the Novus Ordo from the Roman Catholic Church.

The NAOCC is one of many LGBT-affirming Christian denominations which claim an inclusive character of the Gospel and count homosexual, bisexual, and transgender individuals as active parish members. Further, non-celibate LGBT individuals and women are equally ordained in Holy Orders and can participate in all areas of parish life