that sure is one weird looking egg! is this the first soft shelled egg she has lain or does she lay eggs like that often? i am thinking that it might just be a glitch in her egg laying system, probably nothing to worry about as long as she doesn't lay any more like it. the thing that is coming off the top, is it soft? it looks like part of the egg white got caught on the outside of the shell and started to harden. laying weird eggs might be caused by stress, not having enough calcium for the shell to harden, laying to many eggs too fast, or from her being a new layer. in your case it looks like it might be from stress or laying too many eggs too fast. monitor how many eggs she lays and the condition of each egg she lays. soft shelled eggs can burst easily so each time you collect the eggs look for soft shells of egg yolk lying at the bottom of her nesting boxes. has your duck ever had any other issues laying eggs before?