First, as a general matter, if someone has relevant email evidence in a divorce, or documents, or communications, they may use them in a civil procedure—including divorce—even if they obtained them improperly. The Constitutional protections against improper searches, for example, apply to the government’s actions in criminal cases. That’s not to say that there aren’t instances were certain information or documents can’t be divulged or used in a civil proceeding, but those cases are typically ones in which one party is violating a confidentiality agreement or other obligation which they accepted to not use certain materials. Therefore, if your spouse has your personal communications, you should assume she can probably introduce them in a divorce, if relevant.
However, using materials which the spouse obtained in violation of your privacy is a two-edged sword for the spouse: family courts have a considerable degree of latitude to apply standards of “equity” or fairness, so the use of this material could be more damaging than helpful to the spouse. It’s also possible that, notwithstanding the above, the court may find some grounds to exercise discretion and keep the material out. That is something worth trying—your attorney can move to exclude evidence, or object to it in court—but again, you have to accept that there is a good chance that the material will come in.
Now, as to whether you may have a claim against your spouse for invasion of privacy: spouses are not immunized or protected against claims for invasion of privacy, so in theory you may be able to bring this claim. As a practical matter, it may be difficult, since the standard is that the spouse obtained the information in a way “highly offensive” to a reasonable person. Given the intimacies and close quarters of marriage, “invasions” by a spouse that would be offensive if done by a third person may not be viewed as offensive when done by a spouse. Also, if you have shared computer passwords, used each other email accounts, etc., that would be viewed as giving the spouse access to that material; and finally, if your spouse found it because you accidently emailed it to her or left a message up on the family computer, that would also not be viewed as an invasion.
All in all, you should discuss with your attorney whether you can exclude this material and whether you may have a claim against your spouse, but both are probably at least slightly uphill fights.