Gambino,
It doesn't really matter how many hours or days you wait before you contact a girl (woman). If you contact her with an air of boldness, coolness, charisma, and humor---then guess what?
Then you WON'T come across as weak, anxious, desperate, or thirsty.
I recommend that you call her and NOT text her. Texting is fine, and it has it's place---but just know that how you approach a woman from the start is how she'll tend to see you from that point on.
The more personal and "impacting" you can make your first contact with her---the better. Texting can sometimes come across as small, tentative, and weak to SOME attractive women. A lot of guys text women out of fear of being rejected by them over the phone or by asking the woman out in person.
Don't be THAT guy.
I don't know the mentality or the age ranges of the women you're dealing with, but RARE is the woman who is actually interested in you who would be turned off by you CALLING her with boldness, coolness, charisma, and humor.
Sometimes guys wait too long (count a certain number of days) and it can come across to some women like they're "obviously" waiting to call them.
Women who are veterans on the dating battlefield can sometimes spot a guy who's trying to hard to NOT come across as desperate by playing the waiting game before they call. And that's usually because these guys come across as nervous, antsy, or unnatural when they finally DO call them.
Again, don't be THAT guy.
Now, if you're a guy that REALLY is too busy to reach out to a girl within the first week of meeting her, then that's okay---because you're being real---and when you reach out to her you won't come across to her like you've been playing a game.
So at the end of the day, I'd recommend you make STRONG, DEFINITIVE moves with women. OWN who you are by being clear about what you want (HER!). Don't be tentative or apologetic about wanting to see her, talk to her, or spend time with her.
He who hesitates----"masturbates". lol
Let lesser men fumble, mumble, and accidentally catch the romantic interest of a woman.
YOU be the guy who boldly lights their romantic passion FROM THE START.
Better to force the woman to see you as a potential LOVER than as just another shy male "friend" as soon as possible.
Life is short, my man. And too many other women who could really be interested in you are waiting.
Soldier on.
V.U.