Jane…
Whoever believes and is baptized will be saved, but whoever does not believe will be condemned. Mark 16:16
whoever does not get baptized will not be saved seems to be missing…
“Whoever does not get baptized will not be saved” is not the teaching of the Church, as you have implied it is. Please read Lumen Gentum which specifically pertains to this issue and the wideness of God’s mercy to those who are incuplably ignorant of the Gospel.
The second clause of Jesus’ instruction pertains to those who specifically reject the Gospel. The verses in Mark 16 preceding the passage we are discussing give the context. The gospel of the risen Lord was brought to a number of disciples and they did not believe. Thus, the Lord reproached them for their unbelief and said: “Go into all the world and preach the gospel to all creation. He who has believed and has been baptized shall be saved; but he who has disbelieved shall be condemned.”
A person willfully rejecting faith in Christ would, presumably, also reject Christian baptism. Thus, it is unnecessary to stipulate the condition you demand. OF COURSE, someone who seeks Baptism without prior faith in Christ or ensuing conversion to Him, by virtue of her own disbelief, refuses and thus does not recieve the graces of Baptism.
The first clause, however, is, as others have rightly pointed out, the normative rule. That is to say, faith and Christian Baptism are inextricably joined by Christ Himself towards salvation. Any person who believes Christ believes in His power to pour out grace in any way he deems necessary. Any person who believes Christ also believes that obedience to Him is necessary. Thus, any person who believes Christ also believes in the necessity of Baptism. To “believe” the Gospel and reject Baptism is impossible.