Let's see how this goes:
AP: While Homura scales to Shiki, who is 2.77 KT, Kikoru is scaling much over 42% Iharu, who is 1.25 KT, so the Homura has the AP advantage. Although the gap will close as Kikoru develops more quickly with her Accelerated Development and eventually catches up to her. Not to mention, with her axe, she can increase her cutting power
Speed: Due to speed equalization, both combatants will scale to Kikoru's Subsonic speed. However, since Kikoru's reactions is higher than her combat speed, it won't be affected much by speed equalization and will remain an advantage Kikoru can used to her advantage. She can also use her axe to boost the acceleration of her attacks. Not to mention that her AD extends to Speed as well, so she will be getting faster as the match continue
Lifting Strength: Homura easily prevails since Kikoru only has Class 5, whereas Homura has Class M. However, when using her axe, Kikoru has demonstrated the ability to combat Class M kaiju like Kaiju No. 9 by focusing on its limbs to cut them off.
Stamina: Since Homura doesn't give specifics, it is difficult to compare, thus I award Kikoru with this since she was able to battle despite suffering injuries and more.
Range: With her guns, Kikoru has the most range out of the two
Skills: Both are highly skilled fighters, though I believe Kikoru has the advantage imo due to having more feats to compare to in their intelligence section
Other: Kikoru also has stun grenades and AoE bullets at her disposal, which can freeze and slow movements, paralyze her, or shoot holes in her owing to the heat (or explode her from the inside if one goes down the mouth). Both of them have analytical prediction, but Kikoru's is demonstrated to be effective on characters who are faster (like when she taught Reno this method of AP, he was able to dodge multiple Supersonic+ attacks while he was Superhuman) than her and not to mention can go in tandem with her much higher reaction speed. Kikoru also has a forcefield shield that will allow her to mitigate attacks from Homura, as it is shown to be able to save her life when a Low 7-B kaiju tried to kill her by shooting her heart. I also guess Kikoru is more acrobatic of the two since Homura doesn't have Acrobatics on her profile. Kikoru also has Regeneration although it is Mid-Low so ehhhhh it is still something.
Conclusion: Kikoru has the better speed (via her reaction speed and her axe increasing the acceleration of her attacks), stamina, range and skill. Even with the AP, LS and durability disadvantage:
- Kikoru's AD can help her catch up
- Her axe allows her to increase her cutting power
- She is trained to aim for weak spots she can exploit such as aiming for limbs like the arms
Her Analytical Prediction, coupled with her higher reactions, will allows her to easily predict Homura's attacks. She can stun and blind Homura with stun grenades to land a free hit. She can even vaporize or pulverize Homura's body with Burst Rounds, freeze and lower her movement with Freeze Rounds or paralyze her with Conductor Rounds (even if she dodges this bullet, the discharge can cause a chain lightning can paralyze those nearby)
I will put my vote into Kikoru Shinomiya