How do I interpret this?

[Tesserax]

Okay I've probably spammed this section enough with random crap (even though this is only the 3rd post in 2 days really), but I have one more question.

So the girl I went on a date with I've been chatting to a lot, and as I'm having mental issues right now I've shared some of this with her and she's helped out. However, I felt like I've been contacting her too much and I was worried about being annoying or clingy to her.

When I told her I was worried about being clingy, she said I don't have to message her every single day. My brain is now interpreting that in multiple possibilities:
1) She's getting annoyed with my clinginess and wants more space
2) She is getting annoyed with me talking to her and it's putting her off
3) She's trying to help me not be so clingy by telling me not to worry
4) She doesn't want to talk to me all that much, she doesn't find me interesting
5) She doesn't really like me and doesn't want to talk to me that much, and it only going on a second date out of pity for me
6) Stuff along similar lines, usually more negative

Her exact quote: "First of all it's ok. You don't have to message me everyday. I'm usually busy which is why i may not reply straight away"

She's messaged me first a couple of times before, but I'm feeling really anxious in the times she's not messaging me. I know she's busy and I understand that, but my stupid brain is trying to tell me otherwise and I need reassurance that she's just busy and there's nothing more to it.

Can anybody help me interpret this? I just need to know I'm all clear. As I've said before in previous posts she means a lot to me, and I'm just afraid of losing her before we're even together. This kind of thing brings out all of my insecurities, which is why this post is so irrational, but it's something I have to overcome, hopefully with your help, and risk suffering if I want to bring something good into my life.

Thank you for your responses, for those of you who took the time to both read and write to me. It's appreciated more than you realize

[FuTo]

Just so you know some times girls prefer it when guys text them first so that they dont come off as "easy" or "desperate." Most of my girl friends loves it when a guy or their boyfriends messages them alot. It shows that he likes her. Just don't ask her constantly what shes doing and try to find interesting topics to talk about. You don't have to worry about coming off as too clingy if you just message them alot. If she doesn't like you she'll tell you otherwise a girl/guy will always like it when the person they like messages them alot.

[Croconaw]

I believe you can interpret this as her telling you not to worry because she doesn't want you to feel bad. I'm not saying she doesn't want to go out with you, but she said that it's okay, which usually means anything but. She also said you don't have to message her everyday which implies she may not want to talk to you as much. She sounds like she told you she had work so you wouldn't interrupt her when she is there. I'm sure nobody wants to be interrupted at work. I am sorry to be the negative one here, but I don't want to get your hopes up. You can take what I said with a grain of salt because this would likely be the worst outcome. Fortunately, you can always hope for the best and wait to see if she likes you.

[Hudor]

She said "It's okay." and if she has been talking to you since of her own accord then i wouldn't worry too much about it. However, I think she might actually be finding you clingy and considered this as the most polite way to let you know.
Usually signs of disinterest are short, terse responses, talking only when you initiate the conversation and even ignoring you for long spans of time(i don't think a few hours or even a day would count as that though).
I suggest you follow her advice and not message her everyday. Might be she wants some space or she's busy or she's disinterested. Right now, it's too early to say and a lot of times giving space does more good than bad.