I grew up as a United Methodist. I am now a Catholic. Part of the reason your co-worker may feel comfortable in a United Methodist church is that their service is very similar to a Catholic Mass in its structure. There is an Old Testament reading, a New Testament reading, and a Gospel reading. Some also have a responsorial Psalm. Usually communion is once a month, and the prayers and responses use the same words as a Catholic Mass. There is a range of belief about communion-- some Methodists believe it is only symbolic, some believe that Christ is spiritually present.
They also practice infant baptism. They do not believe that baptism washes away original sin, but they do believe that baptism incorporates one into the body of Christ. They do not believe in purgatory. They do not give any special honor to Mary, and do not believe in the intercession of the saints. Officially Methodists believe much as we do about the judgment-- we are judged immediately after we die, and will go either to Heaven or Hell. When Jesus returns all will know the outcome of judgment for everyone else, just like the book of Revelation outlines. Many United Methodists are affected by liberal theology, and there is a large variation of belief among members.
The biggest contention, I believe, for a Methodist looking at the Catholic Church is the availability of communion. They are very committed to having an open communion table to which all are invited. There is an anouncement to this effect before every communion service. Many have a difficult time understanding why the Catholic Church has regulations about who may recieve communion.
I would not be surprised if when your co-worker speaks about evangelization she means simply sharing Christ, not getting people to join her church. The United Methodists are not as emphatic about people joining their denomination; they make no claim to be the true or only church. If someone is a Christian that is good enough for them. There has been a big movement in the recent past toward complete openness and welcoming all.