Should you be worried if you have no fate line?
I would not be too worried if I do not have a fate line provided my life line, and my head line are long, deep set and sharp.
The head line should be straight and running across my palm and my life line should have a curve running down from around (or little above) the thumb area.
Additionally if your palm is clean and has only three or four lines that also helps.
The above enough compensation for not having any fate line.
But it is always better to have some sort of a fate line as it makes ones life easier and enjoyable.
There are infinite number and types of fate lines and you should get your palm checked by a palmist to confirm that you actually do not have any fate line.