I just rolled 4d6 drop the lowest and got...
12, 11, 11, 13, 11, 13.
Ugh. Now as the DM would you let me re-roll, or make me suffer with the most boring stat array ever for the next year in your campaign?
Play a human (14 dex, 14 int) with archery style for +2 to hit, or a wizard that doesn't rely on blasting stuff, and you can easily have the equivalent of an 18 in your attack stat or a perfectly viable character. If you played this character without whining about it, as a DM I might even drop a belt of ogre power or headband of intellect or something for you to find. The trick is, don't expect to "always come out ahead" when you roll dice, because that's foolish. Instead, roll with the punches and make your character interesting, and mechanically viable by picking strong choices mechanically. Those with higher natural aptitudes are often lazy or lack determination, let this be a chance to make your character the best wizard ever. By level 12 you could have that 20 main stat and that's more than good enough.
You can dual wield throwing daggers and shoot two of them per round as a level 1 fighter with a +6 to hit on each one.
Take sharpshooter as your level 1 human variant feat and boost dex to 16 at level 4. By level 5 you will be doing comparable damage to an axe wielding GWM barbarian with 20 strength. Or take a non-variant human and get lots of +1s from all those odd ability scores evening out. Or play a character not focused on offense, it's easy to make PCs that are perfectly good at contributing to the group without awesome stats.
If you picked rolling instead of point buy method in my game, to risk low rolls in order to get the chance of getting high ones, and you rolled low, that's too bad. Fair's fair. I would make you stick to those stats if you decided to risk 4d6 drop lowest and ended up with middling ability scores.
Don't roll the dice if you won't want to pay the piper when you get snake eyes. Don't play a game with dice in it if you don't like the fact that dice just as often as not, let you down. That's what makes the game exciting.
Playing it safe means taking no risks. Your next rolled PC could have three 18s at level 1. One of the PCs in my group rolled exactly that. Well, two 18s and a 17, a 16, and one 7. Nothing that a couple well-placed stat boosts can't remedy.
In 5th edition the average PC has one 16 at level 1, you're only -1 away from that. Boo hoo.