Tons of opportunities for women in Project Management. Project Management is not a gender specific role and some of the best Project Managers I have ever met are women. As a matter of fact, about half of the PMs I work with regularly are women.

Any serious, reputable company in the modern world would treat the application from a woman exactly the same as they would one from a man. Of course being  woman per se won’t get you a role in Project Management, regardless of your gender, you need to showcase experience, a proven track record, training, Certifications, etc. How much of this will vary depending on the level of the role (e.g. Internship, Junior, Senior, etc.)