Crack eggs into bowl.
Whisk eggs until completely smooth.
Heat pan on medium-low heat.
Add one tablespoon butter to pan.
Pour whisked eggs into heated pan.
Stir constantly with rubber spatula.
Keep stirring for two minutes continuously.
Remove pan from heat briefly.
Add remaining butter while stirring.
Return to heat and continue stirring.
Add crème fraîche when eggs thicken.
Season with salt and pepper.
Remove from heat when still slightly wet.
Garnish with fresh chopped chives.