It's one of those moments where you say "You! You're perfect! I must draw you!" except you're saying it to yourself. It happened all the time in 17th century Europe.
After playing this game long enough, you'll have no choice but to accept the fact that your fingers are shaped like ginormous sausages. Take comfort in the fact that all the incredible Draw Something artwork you see on the internet - like the ones you see above by Dean Sanchez - is done with a stylus. Cheaters!