With the text you quoted, I would say yes, that is inappropriate. The important thing is how you handle it and address it. Do not get mad, do not put her on the defensive. Do not try to make her feel bad.
Other than this do you feel your marriage is in good shape? I would suggest calmly bringing it up to her that you are uncomfortable with it. You might want to ask her if everything is OK.
I know the signs were there with my wife a long time ago, I wish I would have addressed the issue properly at the beginning.
BITS
Happiness is not something ready made. It comes from your own actions.