A bit melodramatic no? I guess we can assume getting that poison was no easy task. Still if it was that lethal they could probably just splash them with it by throwing a flask or hell a bucket. They were good with slings, those would work too. I don't know fill a tiny gourd and chuck it at them?
The most disappointing part though is we have no explanation where this indomitable will came from, or even a remark on what they could have been.