Hello.
Don't worry in present day life women are equal to men and there is no much work difference in those two groups I'm going to give some brief information about these tow groups and make your choice
Well, Biochemical Engineering is the application of chemical engineering techniques to industrial processes based on biological elements like the living cells or their components. For example microbes and enzymes are used to produce useful chemical compounds such as antibiotics and other chemicals. Biochemical Engineering is therefore that area where it is studied “how cells behave in a reactor”.
On the other hand, Chemical Engineering is that branch of engineering which deals with the design and operation of industrial manufacturing plants. It is a part of engineering which deals with the production of chemicals and other products using the raw materials that require chemical processing.
Although Biochemical Engineering and Chemical Engineering are branches of Chemistry and are similar in many aspects, there are diverse fields concerning different procedures. While Biochemical Engineering deals with the various bioreactors that are used in the manufacturing of food stuffs, pharmaceuticals and waste treatment whereas Chemical Engineering involves manufacturing of finished products using the raw materials by applying chemicals so as to change their chemical or physical composition, structure or energy content.
Employment Areas for Biochemical Engineers:
Pharmaceuticals Sector
Plastic and Polymer Manufacturing
Water treatment & Environmental Pollution Control
Food Sector
Mining Units
Nuclear sector
Public Health Labs
Hospitals, Blood Banks & Cancer research institutes
Chemical Manufacturing
Research Laboratories
Forensic Science
Agriculture and fisheries
Employment Areas for Chemical Engineering

Plant Design
Textile manufacturing
Coal preparation and mineral processing
Explosives manufacturing
Fertilizer industry
Food processing
Glass and specialty chemicals
Paints
Steel and aluminum manufacturing.
Nanotechnology
Oil and Natural Gas Industry
Ceramics

For more further details go through this LINK

https://www.careers360.com/biotechnology-and-biochemical-engineering-course



Overall both Biochemical Engineering and Chemical Engineering holds excellent future prospects both in India and abroad.
Hope this is helpful.
Good luck.