Is It Possible To Tear Hymen With Finger Nails?

im 23, i think i have broken my hymen, as my finger slip and nail hit it very hard while taking bath. it bleed a drop or two, i want to ask dat if there is any possiblity that i will bleed during my first sex? and now aftr 3 days i found some milky liquid ovr there. is it a symptom of hymen breakage?