Rsearch,
Another Catholic convert here. Welcome!
First, with no disrespect to our other Christian friends, the Roman Catholic Church
is the Church Jesus founded, the Church He built on the Rock (Peter) and proclaimed that the gates of hell would not prevail against it. That is key because when you see stuff like “This cardinal said ___” or “That bishop said ___”, you must remember that this is particular to the bishop/priest/cardinal/whomever and is not indicative of the direction of the Church. The Church is guided by the Lord Himself, through the power of the Holy Spirit. The laity and clergy are human and are therefore fallible; the oft-referenced “infallibility of the Pope” is under specific cases and is rarely used - search “ex cathedra” and you’ll find others who explain it far better (Jimmy Akin does, if I remember). But no pope is infallible all the time, nor does the Church claim he is. The Pope confesses his sins and receives Reconciliation, just as we do. But the Church - Her doctrines, Her dogma - is guided by the Lord through the power of the Holy Spirit, and the powers of darkness will not prevail against it. So remember that when you see headlines like this.
Second, take everything you read about Christians in the news with a grain of salt, and anything you read about Catholics with a shaker full.

In all seriousness, the media has a bad track record of misquoting or otherwise misconstruing things the Catholic Church has said or believes. I speak as a professional journalist. Many in my profession are hostile to the Catholic Church, and some are simply misinformed or uninformed. Either way, that combined with the pressure of deadlines and the 24/7 news cycle can create inaccuracies in reporting. So bear that in mind when reading about the Church, especially if it’s something that sounds badly askew.
Finally, realize the Church
cannot change on the same-sex marriage question, just as the Church cannot have women priests. This is not something that is up to the Church to decide; these sacraments (Holy Matrimony and Holy Orders) were designed and ordained by Jesus Himself, and no pope, cardinal, bishop, priest, or laity has the authority to change them. These sacraments are not subject to popular vote or the whims of the current zeitgeist. They are what they are. That is not to say that we in the Church do not show love to people with same-sex attraction or that a person who is attracted to the same sex may not be a devout Catholic. On the contrary, the Church asks no more of her children with same-sex attraction than she does of her children with heterosexual attraction: outside the bonds of Holy Matrimony, one must be chaste (pure) and celibate (not sexually active). Is it difficult? Yes. But Jesus never claimed that the road wouldn’t be difficult. He said that His yolk is easy and His burden is light…but we still must all carry crosses. The difference is He grants us the grace to carry them.
May God bless you as you search for the answers to your questions.