YES = most Saints will be put to death = Rev 12:11 "they loved not their lives unto death"
The "small portion" of Saints who are caught up is described in 1 Thess 4:13-18
But I do not want you to be ignorant, brethren, concerning those who have fallen asleep, lest you sorrow as others who have no hope.
14For if we believe that Jesus died and rose again, even so God will bring with Him those who sleep in Jesus.
15For this we say to you by the word of the Lord, that we who are alive
and remain until the coming of the Lord will by no means precede those who are asleep.
16For the Lord Himself will descend from heaven with a shout, with the voice of an archangel, and with the trumpet of God. And the dead in Christ will rise first.
17Then we who are alive
and remain shall be caught up together with them in the clouds to meet the Lord in the air. And thus we shall always be with the Lord.
18Therefore comfort one another with these words.
NO rapture can take place
UNTIL after the Resurrection which
ONLY occurs at HIS Second Coming