Female wanting to cut fat

If your weight is holding steady, you are eating at maintenance. How are you measuring your food and calories though? I would expect your maintenance to be a bit higher than 1500. Regardless, to lose fat you'll need to cut calories. I would suggest starting by cutting around 200-250 calories to start. As you are shorter and not too heavy, you don't have much room to cut before hitting the minimum 1200. Plus, your energy will be affected by the cut and you want to minimize that if possible.

Keep weight training. To preserve your muscle I would continue the heavy lifting days for sure.

how long have you been doing this plan for?
i wouldn't advise doing anything drastic like fasting cardio, that way madness can lie!
adding cardio into you workouts will add to your calorie burn, as will the muscle you've built up, so don't cut out your weight training (keep at least the heavy stuff like Jemh said)
where do you train? at a gym or at home?

I'm actually in the middle of a cut myself. I've lost about 15 pounds in the past month a half. I've done quite a bit of research and this is what I've found/what I'm doing with great results:

Cardio: if you're looking to retain muscle I would recommend hiit workouts (high intensity interval training) you can look up lots of different workouts on this. It's a great way to workout a sweat and it's great for your heart. Cardio is definitely important though.

Weight training: high weight help you retain more muscle. In my cut I haven't lost much muscle and what I did lose is more from doing less bicep tricep less from the cut itself.

Diet: I don't know exactly what will be best for you I'm currently around 1100 calories per day. What's really important during a cut is getting all the micronutrients you need also fiber is really good for your diet. If you're not already a multivitamin can be good to help get your body what it's missing. Also it's important to limit your sugar. The only place suagr should come from in your diet is fruit.

Cheat meal: I give myself one cheat meal a week. The key is to not overdo it on your cheat meal and make sure it's just one meal, not a whole day. This is important though because it can help reset your metabolism.

Foods: some foods I'd recommend is chicken, turkey and fish for protien. Nuts are also great esp. To get some fat but make sure you stick to proper portions. If you're looking for a good protein bar I'd highly recommend Quest bars although they are a bit pricey, they have 2p grams of protien, 16 grams of fiber and no sugar and is the best tasting bars ive found. I eat half a bar for breakfast and then the other half at night after my workout. I also recommend a banana before and after workouts it's great for energy. And finally spinach have spinach with every meal I go through about a container every two and a half days. Also broccoli and celery are good although I'm not a fan of the taste.

Suppliments: I already mentioned taking a multivitamin but I'd also recommend fish oil with omega 3s depending on your diet. For me I'm a college student so it's hard for me to cook fish so the fish oil is great for me. If you're looking for protien powder my favorite is muscle pharm combat. I recommend drinking any portion shake slowly that way your body can absorb more of the protien. Finally this one many would probably debate whether it's necessary but I take bcaas. On a normal diet it's probably not necessary to take these but when you're not eating as much I think they are good to take. They help your body retain muscle and break down fat. I use bpi best bcaa.

Hope this helps! Goodluck!