I have this issue with both of my sons.
If you're talking about small, red, splotchy spots on her face that are not raised or bumpy in any way, then you're probably not looking at an allergy, but merely skin irritation.
Facial hair can be thicker and more coarse than body or head hair. This coarseness is abrasive, and so it irritates the skin.
Here's what works for me:
- Do not shave or trim too close. The shorter your beard hair, the stiffer it's going to be. When it's stiff, the ends of the hairs are going to stand out and be more abrasive. Long hair will "bend", so the tips are pointed away. Also, as it gets longer and ages, it starts to break down more, causing the ends to be softer and thinner.
- Do not let your beard get too long. Long beards can be unwieldy when trying to kiss your little ones.
- Once you find a balanced length, avoid nuzzling-type kiss. When you get in too close, especially if you're smooshing cheeks with your pursed lips, it's almost inevitable that there'll be some rubbing.
- Try quick pecks or kisses in other spots. I find the top of the head rarely causes this problem, as it curves away from the beard and avoids the irritation.
- Cover your beard, especially your chin, with your hand as you give smooches. This will block the worst offenders of your beard hair.
You could try other things to softer your hair. There are a number of beard-grooming products that supposedly make your hair softer or shinier, just like other hair-care products. You'd want a product that smooths the cuticle, the outer layer of hair comprised of dead cells. I can't recommend a particular lotion, oil, or condition, but there's a variety to find.
However, if you use a beard-care product you're going to want to make sure that the product itself won't cause chemical irritation. Personally, I just wash my beard with soap and water. The soap and abrasion helps to break down the tough cuticle, leaving the softer inner hair more exposed.
I would also note that my boys have never been distressed about the marks, which go away in 5-10 minutes. My older son is old enough now to understand that my beard tickles, so sometimes he actually likes when my beard rubs his skin, even though it leaves the irritation spots.