But, it is not good genealogical practise to change the individual's surname when they marry because that person would cease to be recorded in an ancestral Gedcom, or a Report, of her birth surname
When a husband's name is entered in your tree, it is done as a spouse, and it is automatically recorded that she is married, and to whom.
I have never had your problem but I would imagine it is possible to delete the current invitation and make a new invitation in the married name