Bad Plot Idea For The Walking Dead

AMC's The Walking Dead is a popular tv show, maybe because stories about zombies/infected are popular now, and from what I've seen of it it seems fairly well made. I'm not that into this type of story myself, however, which is why I don't regularly watch the show. But, while flipping the dial so to speak I caught a glimpse the other night. And what I saw made me really question the writer(s).
From what I think I understand the show is adapted from a comic book. This is unimportant. I saw a sword-wielding woman walking along chopping the undeads heads/arms/etc. off left & right. I assume that she's supposed to be somehow special-I don't know her comic universe history-and perhaps she is therefore better at this than most people. The problem I have is that I just don't buy it. Sword swinging in my humble opinion can be easily taught to most normal people, just get a sword and swing it for a while. Of course some people will be better at it than others, like anything else, but you don't have to be a samurai to get the job done. Especially considering the zombies/infected move very slowly & are nearly impossible to miss since they don't try to dodge or anything.
When I first saw the show it began with a guy with a gun shooting the zombies in the head. To me this was a scary situation: guns run out of ammo eventually. When they do you either have to run away, club them with the gun butt (very dangerous since they then get real close to you), try to find more ammo & reload so you can shoot again (possibly dangerous if you fail), or fail worst of all & let the zombie get you & kill you. There were no sure-fire easy kill methods to dispatch these monsters-even though you had guns you could miss with your shot/run out of ammo/etc. But now, after the show I saw the other night, that's all gone. All you need is a big sword & the will to swing it & no problemo. Zombies heads will go flyin'. So I say that putting this into the show was a major mistake-they should have never done this-because I feel that any reasonable person would see that all you'd need to do is arm everyone with samurai swords from the local sword emporium or whatever place sells them, learn how to swing em for a bit, and then your zombie problems are no more! Hell, let's go zombie hunting! Turn the tables on them for a change.
So, ultimately, introducing the use of a sword to so easily clip heads off to eliminate the zombies basically kills the show for me & there's no reason to watch it-not saying I did much before anyway. It makes the zombies too weak. Of course, to counter this I guarantee that this stroke of brilliance won't occur to the other characters (IE: they'll not realize that they could just all arm themselves with swords & go head chopping like Michonne (the woman with the sword in the show). Instead they'll let the zombies remain threatening by doing what they've been doing like idiots. The thing about her using the sword is that she's a baddass & it looks cool. Well, why can't everyone be like her-she doesn't have to be unique. Are there for some reason no other swords available?
Too bad The Walking Dead-you've lost me by reason of absurdity.