An ironing board.
You can get close to it, but you can't touch it
Reply to her message within a minute
The phone rang while she was ironing!
Nobody wanted to draw his iron.
Sir. Groan worthy penguin jokes(https://allwrong.wordpress.com/2007/10/05/penguin-riddles/)
A *cow*culater. I made it up myself, so don't groan at the pun.
It's difficult to open the legs of an ironing board.