Church, Bistro and Theatre

My daughter has little hope gaining admission to a local Church of England school because they class “Methodists” as being from a different faith and therefore highly unlikely to gain entry to a Christian school? Is this legal?

Should a church act extra friendly towards them or no different? At a few churches I’ve attended alone and felt almost like I was in the way at times (not sure if it’s in my mind or if it’s just truly an unwelcoming church).

Do you think these are unwelcoming a churches or are all churches like this?