You can delete tags and category from a woocommerce single product page using additional CSS. Wordpress has a custom CSS option. You can use custom edit option and delete tags and categories. It will be easy.
1. First of all, go to Options.
2. Then click on General.
3. You will found the custom CSS
Inspect the page and find out the CSS classes or add below code in WordPress custom CSS file
.single-product span.posted_in {
display: none !important;
}
.single-product span.tagged_as {
display: none !important;
}
Hope it will help.
Comment me if another issue will occur.