Just killed mouse with glue trap and PETA says I'm inhumane

[postmortemIA]

First I saw small mouse it last night while brushing my teeth in bathroom. And then I had hard time sleeping wondering if it will jump into my bed and walk over my face D:

Today I got some flue traps and put them together with some cheese at the locations I saw him last night

And sure enough, I heard the noise of it trying to free itself - it got stuck in the glue. So I killed it with by crushing it with soda can - to spare it from suffering,

PETA says

Sticky glue traps cause an enormous amount of suffering and a traumatic death for the animals they catch. Humane methods of rodent control are available.

They even have idea how to 'gently' set it free... And then what? Outside is -5F, it will get back in if it survives long enough

If you encounter an animal who is stuck to a glue trap, pour a small amount of cooking oil or baby oil onto the stuck areas and gently work the animal free.

http://www.peta.org/mc/factsheet_display.asp?ID=127

What would you do?