"As we’ve covered already, the passage in 1 Corinthians 11 doesn’t identify any particular style for covering the head. Paul uses a verb to command an action (cover her head) rather than using a noun to indicate a particular style (e.g, put on a hijab). This means the style of covering falls into the category of Christian liberty. So if the question is, “is it biblically permissible to wear a Hijab?”, the answer is yes. However, a second question that should be asked is, “is it wise to do so?” Before we give our opinion, I think it’s important to understand the two main views in this debate."
Is it OK for headcovering Christians too wear an Islamic style of headscarf? This article offers a balanced perspective, though I would probably come down more on the side of saying hijab-style coverings are an option for Christian women.