In general, a Chemistry degree is not in itself a suitable background for Chemical Engineering as a profession. Some courses in Applied or Industrial Chemistry
may be suitable for
some roles in the sector, but there is a large amount of content a Chemical Engineer will learn that a Chemist won't. Additionally, usually there are requirements regarding accreditation of engineering degrees, and there are roles which may require a specifically accredited degree as such - unfortunately I'm not that familiar with Canadian issues on that front.
However to illustrate the point, a Chemist won't learn any fluid mechanics or heat transfer, and they also won't cover process engineering and reactor engineering normally. These are however core courses for any standard Chemical Engineering degree. In general fundamentally a Chemist will be considering individual reactions in a benchside laboratory environment, while a Chemical Engineer will be thinking about what the most efficient way for those reactions to take place on a massive scale. There is thus a fundamental difference in how the two subjects will approach certain topics.
That said in the NA model, typically they do share a number of earlier core courses (e.g. chemistry through organic chemistry, at least some calculus although the engineers will do a fair bit more than a chemist, and the intro physics sequence usually). As such it may be possible to initially begin on the one course and transfer to the Chemical Engineering programme once you start - I would recommend speaking to the university to see if this is possible however (or if you would need to transfer to another university to do so, check with the other university to see if the Applied Chemistry programme would be suitable for transfer to Chemical Engineering there).
Ultimately though if your goal is to work as a Chemical Engineer, you should pursue a degree in Chemical Engineering. There may be some roles though which either would be suitable to prepare for (some petrochemical roles involving quality assurance or something, for example), so it does depend a little on your longer term plans. As above though, you shouldn't let your gender stand in the way of pursuing that; women are underrepresented in STEM fields, and there is a lot of work being done to try and improve that. You may well be eligible for some scholarships or similar as a result, and even if not it's well worth pursuing if you wish to go into that area