Itchy itchy 😫

Breanna • Hello! 🌸💕
A few days ago I wanted to shave well down there, and I was a bit rough, and I used a new soap.
The same day my skin was quite irritated, and it progressively got more itchy the days went on. Now it's become swollen, red, itchy as hell, and a white discharge.
Does this sound like a yeast infection?