She’s your wife. Please be charitable and pray over her if she’s in pain. It’s not about you being comfortable: It’s about giving of yourself and easing her pain if at all possible.
I don’t blame you for being confused. It’s like saying “If you really love me, you’ll be a Franciscan/Carmelite, etc”. You cannot force someone’s spirituality. If you are not comfortable with the laying on of hands or charismatic expression in general (and I’m not comfortable with it, either, so I understand that), your discomfort is going to show through if you just “suck it up and do it”. That is going to make the experience less than positive for your wife and I don’t think it will satisfy her in the way @deMontfort seems to be assuming it will. It also shouldn’t be done for superficial reasons (i.e. to keep her quiet or to stop an argument) because that won’t make it efficacious either. If you are not of charismatic persuasion, you probably aren’t going to be able to be just force yourself to be so. It’s like saying “just force him to be a Math person” or “just tell them to draw better” or " “just force them to be more affectionate”. It’s not natural and I don’t think spirituality works that way. You grow with what you’re given and in the way that works with you. You COULD objectively learn more about the charismatic movement, you could observe a charismatic service or talk with someone of charismatic persuasion to get an “insider’s” view of what the CM is and isn’t and that fine, but no amount of doing that is going to make you “become” charismatic if that’s not what you are. That’s why I suggested trying to do whatever you have to to get someone who IS comfortable and natural with that form of expression to give her the peace or to let her know you are battling for her in your own way. I would think, as @Bluebright said, that she would then understand that you ARE supporting her and fighting for her.