Fantastic question! I wish the answer was as clear. Biomedical engineering is an excellent field to go into where problems like you’re describing are minimal. I’ve found that work environments in STEM and other disciplines that are composed mostly of professional men and women have these problems least often. Environments where engineers and other professionals work with skilled and unskilled labor in construction and manufacturing, for example, are where I’ve found that these problems occur more often. I am 62 and a male mechanical engineer and that’s been my experience. I also have a daughter with a Masters in civil engineering, and she gets these problems more often when her construction management Project Engineer responsibilities take her out to the worksite.
This “myth” that women are considered less capable in the workplace and therefore have fewer opportunities and lower salaries may have been true 100 years ago as educated and highly qualified women began entering the workforce in what had been male-dominated professions, but since the civil rights and women’s rights movements beginning in the 1960s really started opening the eyes of male-dominated companies to the innate capabilities of women in skilled labor, professions, business, government, and senior management, major industries and many companies have learned to their chagrin that many women are highly capable and in general are able to do in difficult, complex, and stressful jobs as well as and sometimes better than many men. Some of these male-dominated companies have also learned the pain of sex-based discrimination lawsuits if they don’t play by the rules.
We will still hear about real lawsuits and threats of lawsuits for some time yet, but they are already the exception and not the rule. In fact, for the last 20 years or so as a consequence of government attempts to legislate morality there have been discrimination lawsuits brought by groups of men who claim to have been discriminated against when a job was given to a woman over a man just so the company will improve their percentage of women in management. But short of lawsuits, there are still many men out there who simply cannot keep their mouths shut, and out comes an attempt at male humor which is disrespectful at best. I was surprised when my daughter told me that this happened frequently to her, but again that was primarily when she went out to a construction site.
Equal pay for equal work is on your list but I wanted to discuss this separately because there is another factor at work here: the use (or misuse) of statistical information. It is regularly reported that women in general make less than men for the same work, and that difference seems to vary between 2% and 20% depending on the study. Studies started with a straight 40-hour week (which women use less than men) and corrected for industry, type of work, race, age, maternity and paternity leave, and on and on. Some studies get the wage gap pretty low but then others disagree with their assumptions – I don’t see this getting resolved anytime soon. So, when you see study results like this, make sure you ask about the source and assumptions used.
In summary, I believe you will see no discrimination against you for becoming a woman biomedical engineer. In fact, I believe you will see the opposite – companies falling over themselves to get you to accept a job with them. If this career is what you want to do, then you will have no trouble getting good job offers and being respected for your knowledge and capabilities.