Yes, you can have laser resurfacing with rosacea. I would personally recommend treating the vascularity of your rosacea with broad band light (BBL) prior to undergoing an ablative resurfacing procedure. The BBL can help get rid of the abnormal reds and browns in the skin. The resurfacing procedure would only be used to improve texture and wrinkles. Since your wrinkles don't seem to be particularly deep, you may want to consider a Halo laser treatment. The Halo can improve texture, wrinkles, the appearance of pores and has very little if any downtime. It can also further improve any reds and browns in the skin and can be combined with a BBL.Andrew Campbell, M.D.Facial Plastic SpecialistQuintessa Aesthetic Centers
Your pictures indicate you have a significant amount of dyschromia(pigment) as well as blood vessels in the central face and overall coarse skin texture. A resurfacing laser would be of little benefit for the reds/browns, but an excellent choice for coarseness and fine lines. An IPL or BBL device either before or preferably after a resurfacing treatment would be more appropriate for addressing vascular and pigmentation issues. If you are wanting to proceed with resurfacing for smoothing, tightening coarse, lax skin I would recommend doing that first and then following this up with an IPL/BBL device if needed.