Every day beautiful muscular women get approached by strangers both online and out in public. When online they sometimes get anonymous pop-up chat windows appearing on their screens, they get random strangers posting risque comments on their MySpace photos, and lots of initial e-mails with rather arcane requests. Needless to say, many muscular women can't stand the crass attention they get from men especially when online. If you were to read some of these "first approaches" by strange men, then you might be mortified as well!
Assuming you want to approach a muscular woman online, start with a compelling and genuinely interesting profile. If you can add humor in your text even better! You also should showcase your accomplishments with a sense of humility. For example, if you have a picture celebrating a certain achievement, add a funny caption. Being humorous and genuine at the same time is a rare trait, and that combination may help you stand out among all of the approaches a beautiful woman receives every day online.
The next recommendation is to find out something about her that genuinely interests you other than her physique. Read her profile and look at the pictures. Is there something about her job or her activities which is genuinely interesting? If so, ask her about it in a gentlemanly manner. Hopefully she will reply and the two of you can have fun, enjoyable conversations.
Always be respectful and a gentleman while online. Many muscular women have complained about the terrible behavior they get from men while online. Not only are there legal consequences for severe bad behavior, but being a good guy (while still playful) will go a long way toward differentiating you from the rest of the pack.
Take these suggestions and test them out. If nothing else, look at your own profile and pictures; and take a look at your communications. Ask yourself, "If I were a beautiful muscular woman, would I reply back to me?" If the answer is no, fix those aspects about your profile (or yourself) first. You can always go back online at a later date when you are improved.