This is a difficult question to answer for a few reasons.
Firstly, there are several different "styles" of boxing, but I don't think they're considered seperate variations themselves... Things like out-boxing, slugging, swarmer are more like "techniques".
Kickboxing is also considered a "hybrid" martial art,
in that it borrows elements from different disciplines.
Personally, I think the best thing to do is to find a martial art that matches your strengths, irregardless of your gender. What are your strengths?
Are you strong? Fast? Well-balanced? Flexible? Have a long reach? Tall?
You could argue that these traits are favourable in most combat-sports, but for example - if you can deliver a powerful right-hook but would struggle to deliver a roundhouse kick to the head without falling over, then a particular type of boxing might be best suited to you.
Also, a big factor is what classes/groups are available in your area?
Getting good takes practice and instruction, so the options available in your local area might have an impact in your decision.