The answer to this depends on what question you are asking. If you are asking if the statute is too broad, we would have to know the wording of the statute in question to judge. If, however, you are asking if the woman's action constituted an assault, the answer is clearly no.
Let us look at the definition of assault from the link below. The link says that
Generally, the essential elements of assault consist of an act intended to cause an apprehension of harmful or offensive contact that causes apprehension of such contact in the victim.
None of these elements appears to be present in this case. First of all, the woman did not intend to cause the lawyer to be afraid. Second, the contact was not (depending on what contact you are calling a "poke") harmful or offensive. Finally, the contact should not have caused any fear in the "victim." The lawyer would surely have known that the woman was not going to be able to physically harm him.
Therefore, this contact is clearly not an assault. It might be a battery, but it is definitely not an assault.