I felt so happy eating kiwi during my first trimester because the sour-sweet taste really helped with my terrible morning sickness. It felt like the only healthy thing I could actually keep down back then.
I'm currently in my 9th month and literally eating a kiwi while typing this! It's great for energy when you feel like a giant, exhausted potato. Go ahead and enjoy it, just don't eat it cold if you have a sore throat.
Eat it whenever you want, honestly! With twins, I was eating kiwi in almost every trimester because I needed double the nutrients and it helped with my digestion. Just wash it properly first, you don't need extra drama.
You can eat kiwi throughout your pregnancy as it is rich in Vitamin C and fiber. After my C-section, my doctor actually encouraged fiber-rich fruits to prevent constipation, which made recovery so much smoother.
Kiwi is great, but if you have gestational diabetes like I did, you have to watch the portion size. It has a decent glycemic index, but still, don't eat too many at once. Always check your post-meal sugars to see how your body reacts.
I am no expert, but I personally ate one kiwi daily during my second and third trimesters. It tasted amazing and kept my bowel movements regular, but you should ask your doctor if it fits your diet.