What legal issues do I face for allegedly forging a signature?

Speaking generally, allegations of "forgery" may be pursued as a criminal charge or as the basis of a civil lawsuit. In some situations, both a criminal charge and civil lawsuit result from the same alleged facts. The act of allegedly forging certain documents may be the factual basis for serious charges, including felonies. However, ultimately, the charge, and whether charges are even pursued, depends on the particular circumstances of the case. The prosecutor always has a lot of discretion regarding whether to pursue a case. Further, the police have a lot of discretion regarding whether to even bring the case to the prosecutor. In terms of civil litigation, fraud or forgery is typically used as a defense or claim for a contract dispute or it could also be the basis for some type of consumer protection complaint. Either scenario can be serious and people should avoid scenarios where they could be accused of this type of thing. I'd recommend you retain a lawyer. If she is adamant and follows through, you or your company could be potentially facing criminal charges or a civil lawsuit. However, nothing may occur as well. It ultimately depends on how she presents the facts.

This sounds like a civil matter, and I do not understand what damages, if any, the person suffered. If you are sued, the claims can be reviewed by an attorney. It sounds like more of an empty threat now, so you could consider hiring an attorney now, or simply do nothing. I hope that this was helpful.

Unless you caused the woman some damage, she will not be able to take legal action. She could report the matter to the police and your employer. Whether you could face any criminal charges would depend on the nature of the paper you forged her signature on and whether the prosecuting attorney felt a crime had been committed.