I really like your name
That said... its ultimately your choice, so do what you want.
I died my hair green for a year, and while I did get some comments, noone treated me any differently than now. I've died it red, blue, and black too.... black lasted for a year and a half, and there was no change in how I was viewed... the green did make ppl stop for a second (who knew me) and ask why, but everyone treated me exactly the same.
So in that regard... I don't think dying it will change too much how others view you... (but then again, I'm pretty dense to that whole social stigmaizing stuff, so maybe you're more intuned to it and will notice a difference). But if you like the color more, then change it! If you don't like it, it'll grow out soon enough, so not like it hurts anything.
I personally love how my hair looks when it comes outta the shower and is darker... just bought some more hairdye for brown-black, so it'd look a bit more natural than straight black... haven't died it yet, still debating on it, but probably will.... still it does still look better wet than dry (even when dark, I guess because its got that shine, and clumps together nicely, and you can make it do w/e you want... before it drys and frizzes up >.<!... or for me, since my hair is really curly, its a lot straighter when dry, so thats a big thing I like...)
As for being a redhead in general... it does seem to be a target for people (but girls are often seen as pretty and comments along those lines, where guys will be ridiculed for it and called all sorts of nasty names more often)... which is just lame and stupid, but how it is... so red -> brownish will possibly change more than brown -> green *shrug* I don't know xD, but no harm in trying!