1. You will need either CarbonCopyCloner or SuperDuper
Both are FREE to download and use for 30 days
2. BEFORE you clone, you must format the external SSD using disk utility.
Connect it to the Mac.
Open disk utility.
IMPORTANT STEP: check to see if there is a "view" menu.
IF there IS, CHOOSE "show all devices".
(if there isn't a view menu, skip to next step)
3. Look at "the list on the left" and identify the physical external SSD.
Click on it and then click erase.
You didn't tell us WHICH VERSION of the OS you're using.
If it's Mojave and later, choose "APFS, GUID partition format".
If it's High Sierra or earlier, choose "Mac OS extended with journaling enabled, GUID partition format"
4. When the erase is done, quit disk utility and open CCC or SD.
I would accept all the defaults.
Be sure you select the internal drive as "the source", and the external SSD as "the target".
6. The clone will take a while, be patient.
7. When done, quit CCC or SD.
IMPORTANT:
Open the startup disk preference pane (system preferences).
Click the lock and click on the SSD to designate it to be the boot drive.
8. Close system preferences and reboot.
9. Is this any better?