Sorry to hear you've joined the club, but glad you found this excellent forum. Lots of women experience burning from the ointment at first. It's possible you'e using too large a glob. Only the size of a small pea – for me that's divided into three tiny bits, back entrance, perineum and front. You aren't applying the cream to your urethra, are you? Its flesh may or may not be flared up with LS.
Most of us start googling all sorts of worst-case-scenarios once we have a diagnosis, which is really upsetting and adds to our stress load. This is the number one worst thing for LS. We've really come to a consensus on here that stress is the biggie. Sugar is a close second – not that you have to worry about every molecule you eat, but you can improve very quickly by cutting out the big sweet treats that stress drives us to eat. The ultra-potent steroid cream/ointment we're all prescribed works very gradually – I didn't really notice an improvement for six months and now at 18 months it's really causing me no discomfort at all. It's there and I get short-lived, shallow flares when I've been upset about something.
A lot of us have taken up Hanny's practice of rinsing with or soaking in water ans a bit of baking soda (bicarbonate). One third of a cup in a bath, a pinch or so in a spray bottle of water and a tablespoon in a basin. Very soothing and healing – really good for your burning. Let your meds soak in for a couple of hours first, though.
Do whatever you can possibly manage to create a barrier between your sore skin and urine. Research has suggested that urine is the reason few men get LS and they're the uncircumcised. Plain old Vaseline works fine – it's oily and thick. If you rinse with baking soda water after each bathroom visit, blot dry and re-apply the goop, it should really help. Some of us use fancier oily balms like organic coconut oil (it has the consistency of shortening) an there's a lot of hype about emu oil, lots of us have tried that.
Of course, wear cotton underwear and never wear tight, non-breathing pants. No soap on your undercarriage at all, ever. So if you have a baking soda bath, don't soap up the rest of your body. Showers are best for cleaning. I use plain water down there, with baking soda – I squat over a basin in the tub. If you want to try something more extreme you could buy a sitz bath so you can sit in warm baking soda water without filling the bathtub.
Do watch Dr. Goldstein's presentation. It's a complete education in LS in less than an hour. The last section is about a clinical trial he's doing around Washington DC, so it doesn't apply to most of us.
https://patient.info/forums/discuss/dr-goldstein-lecture-271556
Hope this helps. You'll probably hear from a number of us regulars. Do stick around as you adjust to this diagnosis.