It does not make you girls seem desperate when asking us guys out, If anything it would be the other way round. I think it all depends on your actions, or how you ask. I personally feel that guys should always be the one to make the first move, but I'm not saying that girls shouldn't try as well. what I think is that it would be so much easier if both sides show that they're interested in one another. It don't have to be verbally, sometimes a little body language, or a little signal would do. Make eye contact, smile or smile back, wave, or finger-brush your hair back, anything is better than guessing.I guess you could say it would be like a first move, but think about it. When you give that one signal of interest it will ease that person and possibly likely to give them that bit of confidence to initiate. I'm just putting it out there, if both sides could just play that little part instead of guessing games, it'll be so much easier.
As for rejection, yes, majority of guys like myself ARE that scared of rejection. Sometimes its not the rejection, there are also insecurity, or financially unstable, and so on. The thing is that there are only so much rejection that a guy could take, when a guy gets rejected over and over again it eventually hits the quitting point. That fear of rejection grows with each rejection, so those of you saying that it'll be easier after the first one is somewhat wrong, and by somewhat I mean that not all men are the same and think the same. Now, after so many attempts that fear has amplified enormously to where that person quits therefor, no more asking girls to go out, but wait for them to ask or show an interest instead. These are most of my experiences and till this day still scared of rejection, but the only thing is that I'm not a quitting type. I still try every now and then, but also what I like to put out there is being used. one of which that made me not want to search anymore. That person that would pretend to like you but was all an act just to get what they want. Anyways, body language is the key, let that person know that your interested by giving signs and if that person is interested in you, they'll give back a sign or initiate the first move. If that person does not have any interest the worst thing theyll do is ignore the sign and move on, no exchange of word or public humiliation lol.
One more thing, If the guys are overly-confident, obnoxious, cocky douche-bags, then get rid of them. I can say for the nearly extinct nice guys still left in the world like myself, that you deserve better than to be mistreated, or used, or whatever the case may be.
There's more that I want say relating to this topic but I'm too tired and lazy to go on, but I hope this helped a bit, but, sayonara! - Kajima B.