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Marmot precip available in lots of sizes colours and a women's fit. is similar to the Patagonia torrentshell but cheaper circa but not always £50.
Depending on how many you are after maybe impsport would do you a deal on something like https://shop.impsport.com/cycling/cycling-jackets/drycore-ultrabright-jacket they normally get good reviews as a company that is. They might even be able to brand it for you.
Any suggestions for a budget (ideally £50ish) waterproof jacket that's not shit? Doesn't need to be particularly stylish or even cycling specific. I'm looking for something to use as uniform for our cargo bike riders at work so needs to be available in a variety of sizes.