Honda CBR 125 for small women?

In that area, you're formally short-statured, and it can actually be difficult, even though I'm generally more of an advocate of the "it's not that bad," "it's all a matter of technique," "it's all just in your head" school of thought.

Unfortunately, you have to think things through and research things a bit more thoroughly than other people whose body type is closer to the "normal range." Keyword: "negative travel."

One of the reasons why slightly shorter men often have fewer problems than women—apart from the whole upbringing and environmental attitude issue—is their often higher body weight. This causes the bike to sink deeper into the springs when sitting down.

And that's a good thing from a driving perspective dynamics, too, because when you ride over a "pothole" at speed (just for illustrative purposes, regardless of whether you'd actually crash into something like that in practice – it's about bumps that are deeper than the "rest" of the road surface), the suspension elements still need to be able to rebound. Otherwise, the tires lose contact with the ground, even if only for a moment. And at that moment, the motorcycle is essentially "out of control."

Keeping these phases of the ride as short as possible and keeping the tires in contact with the surface as often as possible is one of the most important goals of a suspension system. The amount by which the suspension elements can extend is called negative spring travel. For more information, see: http://www.motorradonline.de/fahrwerk/so-gehts-federbasis-selbst-einstellen/368309

However, the spring force (technically "spring rate") is designed at the factory for riders within a certain weight range.

And contrary to popular belief, the spring preload adjustment feature often found at least on the rear wheel doesn't actually change the spring rate at all . It simply compresses the spring a little more "in advance." This results in a bit more negative travel with a higher load. However, the same additional force is required to compress the spring the next centimeter (progression is ignored for simplicity).

You will now notice that 1) most motorcycles have suspension that is too stiff for your weight from the factory and 2) that you can hardly adjust the sag on any standard motorcycle to suit you.

Now, it's a very common and relatively simple tuning procedure to swap the front fork springs for ones with the correct spring rate. In the past, most Japanese bikes generally needed slightly stiffer springs for us Central Europeans, because they were factory-designed for physically smaller Japanese riders. There's an entire industry that sells corresponding aftermarket springs, and swapping them out is more or less quick and easy for most telescopic forks.

But the rear suspension is more difficult and expensive because most of the shock absorbers used there are unfortunately not so easy to disassemble.

And even where that's possible, it would only be half the battle, because the damping also needs to be reasonably matched to the spring rate. This means that if you simply screw a weaker spring onto the strut, the shock absorber would dampen too much.

This means that what you ultimately need is a chassis that's completely and intelligently(!) customized to your needs. There are a few things to consider, not least the axle load ratio, otherwise you could ruin the handling.

Removing the padding should also be done with caution. Many people do this simply because they absolutely want maximum ground contact when stationary, but in doing so, they change the entire seating position. In the "magic triangle" of seat, footrests, and handlebars, a few centimeters often make a drastic difference, and above all, it has to "fit" while riding.

Long story short:

You'll have to fight harder for a good motorcycle riding experience than bigger people, spend more money, and possibly make more or different compromises.

But where there's a will, there's a way.

Especially in light of this, I wonder why you want to stick with a 125cc, because based on the question you should easily be old enough for an A2 license.