Do I have any chance with this woman? I met a girl at the gym

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Do I have any chance with this woman?
I met a girl at the gym a few months ago, we made I contact, but I didn't say anything. I wrote down her license plate number on her car, did a little research and found out where she lives and works.
I went into her work about a month ago and found her. I gave her my number and she excepted it. She never called, so the next day I returned an item, just to talk to her and eventually got her number. We texted a few times, but when I tried to make a date, she's always busy with her sick mother.
I decided to put a rose and sweet card I bought into her mailbox the other day. I didn't say it was from or anything.
Do you think she will suspect it's me and make her fall for me? Or will she think it's from some young stud? I'm in my 30's, but look 25. She must be in her 20's.