Sorry to have to correct you, but I'm not worrying, at least not for myself. I do worry about brethren like yourself though who reveal that you might be deceived into accepting the coming pseudo-Christ in place of our true Lord Jesus Christ Who will only return after that false one has done his job of deception upon the majority on earth.
In 1 Thess.5, Apostle Paul was actually giving those signs from the OT prophets about the very end of this world.
When he told them he had no need to write to them about "the times and the seasons", it means they already... knew all that. They perfectly knew about the "day of the Lord" events, and Jesus' second coming, because that's what the subject of the times and seasons is about.
But what of other brethren who do not know those things? especially today? There are many... today in the Church not aware of those times and seasons, because they are not taught about them, nor do they study God's Word enough for themselves to know them.
That's why I'm led by The Holy Spirit to teach about those times and seasons. Even though some will not listen, those given to know will. Therefore, I know some will not hear, because of blindness that God has put upon them for this time.
So, did you pick up on what Paul said there about that "Peace and safety" event from the OT prophets about the end of this world? I noticed you didn't put any of that in bold, but only put two verses in bold which many on the Pre-trib Rapture theory often emphasize, which is a show of not really understanding what Paul was talking about there.
I won't leave you guessing though (that is if you're still reading this):
In the previous 1 Thess.4 chapter, Paul was covering the event of Christ's second coming and our gathering to Him. Yet in that chapter, Paul did not give that along with any signs leading up to the end when that will happen.
But in 1 Thess.5 Paul did give some signs to mark.
In Matthew 24:6, our Lord Jesus told His that when we hear of wars and rumours of wars, don't be troubled for those things must be. The last part He said is very... important, for He then said, "but the end is not yet." Thus we can know, and be sure, that the very end of this world will not happen during a time when wars are still going on. And that can mean only one thing, a short time of world peace is set for the very end prior to Jesus' coming.
That time of peace per the OT prophets is what Paul was talking about with that "Peace and safety" idea.
When the deceived finally begin to say, "Peace and safety", that is when the "sudden destruction" of God's consuming fire to end this world and signal Christ's coming, will occur. That means there will be a short time of world peace at the very end, just prior to that sudden destruction.
Paul called it a "sudden" destruction because that's the idea God showed through His prophet Isaiah about it. There is a section of chapters in the Book of Isaiah some Bible scholars call the 'Apocalypse of Isaiah', the reason being because it outlines many events of the end linked in our Lord's Book of Revelation.
This is how Apostle Paul knew about the times and the seasons of our Lord Jesus' second coming, because Paul was a scholar of the Old Testament Books, and he met with Christ's Apostles that were with Jesus, and stayed with them a while before going on his ministry.
The other time marker Apostle Paul gave there in 1 Thess.5 is one of great importance. Paul linked the events of "the day of the Lord" with the time of our Lord Jesus' second coming with the "as a thief in the night" metaphor. Apostle Peter also understood this one, because he proclaimed it also in 2 Peter 3:10 in association with the elements (man's works, not earth matter) being burned up on the "day of the Lord".
In Rev.16:15, our Lord Jesus Himself proclaimed that He comes "as a thief", pointing to this thief in the night metaphor Paul proclaimed here in 1 Thess.5.
The thief in the night metaphor is based on our Lord Jesus' Message at the end of His Olivet Discourse, like in Matthew 24, where He warned us to 'watch', and that actually was an idea first written in Isaiah about the idea of the watchman.
Paul also gave yet another marker, when he mentioned about the deceived being in a state "as travail upon a woman with child", when that "sudden destruction" occurs at the end.
So while some preachers simply pull out those two verses you put in bold, and then preach against Christ's command for us to be on watch, i.e., knowing those "times and the seasons" leading up to Christ's coming, and even omitting Paul's end time markers he gave in that very chapter, doing that reveals what about those preachers?
It reveals they do not know, and are just playing religion, ever on the 'milk' of God's Word and never getting to the 'strong meat'.
But some preachers are revealing these markers to their congregations, even though many of the members may at first struggle to understand. I know some small children that understand more about this 1 Thess.5 chapter's end time markers that Paul gave than those above milk preachers do!