• Always abuse W, don't spam E, don't forget to use Q. Properly using (read as spamming) W is the only way to win the lane/trades/games as Ashe so get used to it.

• Get cs and avoid long fights. Always hit them back if they hit you.

• Knowing enemy summoner spells and runes is important. If you don't remember enemy summoner spells or forget them for a second you might find yourself in a bad situation. Check enemy's AD and AP.

• Being pushed to your tower doesn't mean you're safe. There is a higher chance to get ganked (or tower dived) if you're under your tower (seriously, almost nobody ganks bot lane if it is pushing). Also pushing your lane keeps enemy ad from trying to trade with you. Pushing your lane is not bad.

vs
Ezreal:
Wins by poking with q. If you dodge his q all the time or stay behind your minions he will just have to farm and wait for his support to do something. Don't forget about his e.

Graves:
Wins any close fight, but loses trades because of his range. Keep some range and spam W. Dodge q, expect e and w.

Corki:
Wins any trade with his q, will always try to use it. Try to dodge his rockets when he gets them, don't forget that every 4th is a big one.

Caitlyn:
Wins by propery using q, but has no damage otherwise. Don't put yourself into places where you won't be able to dodge her q. Remember where she puts traps. Try to attack back when she attacks you.

Draven:
Wins by playing agressively and trying to hit you all the time. Keep cooling him with your w and he will play less agressive. If you get hit by e you will probably die. Be ready to dodge his ult.

Tristana:
Her w's damage is very big, so don't get caught by her support, otherwise you'll be fine.

Varus:
Stay behind minions when he is charging q. He will probably just wait for his support to jump on you and then he'll kill you.

Vayne:
If you go full crazy about harassing you will make some stupid mistake and lose the lane. Just wait for opportunities and play safe.

Sivir:
Low range, relies on her support very hard. Dodge q, don't get caught by support.

Soraka:
Try not to get hit by her E.

Taric:
Don't let him get close, harass from safe distance.

Alistar:
Be ready to flash away, expect combo.

Leona:
You get hit you die pretty easy.

Lulu:
Don't forget about her ultimate, don't come too close for no reason because you will get hit.

Sona:
Try to respond to her qs with w and aas.

Blitz:
Lose because you get grabbed or knocked up

Nunu:
Lose because you get slowed and won't be able to do anything. If you get his by his snowball you will die.

with
Soraka:
Spam w with unlimited mana because if they get to fight you will lose

Taric:
Long fights or stun follow ups are not the best things ashe can do, but you will still have to attack whoever he stuns and help him. Expect to get hit back if you don't get away before they retaliate.

Alistar:
If they can hit you after he uses pulverize there is no point to follow, because they will. Make sure they don't hit Alistar a lot when he backs up though.

Leona:
Live in terror because nobody knows what to expect from a guy who picks Leona with Ashe. Try to follow up, may be you'll get lucky (you'll probably get killed).

Lulu:
Try to follow up when she manages to hit them.

Sona:
Expect her to play agressive, so be ready to go in with her.

Blitz:
Any pulls will result in your death (confirmed).

Nunu:
If Nunu snowballs enemy ad carry you get an easy fight, but watch out for their support.