[@karamonnom] Total adds to 68, so feel free to do so if you want; with a feat you can still reach 20 dexterity with that set though (15 +4 racial mod + 1 from a relevant feat), and placing the 13 in wisdom to give it your racial’s other +1 would give you an AC of 17 to start out.  You’d just be struggling in other categories, likely strength and charisma/intelligence. So in terms of what a Monk ‘needs’ to do you can excel, but you may suffer in other ways with two negative mods.

In short; rerolling all could definitely give you a better spread, and being four points lower than average can be a drag if you’re not keen on being a weaker link/playing a flawed character. 

[@Vertigo] As for you, that’s a perfect spread for someone like me lmao.