I think this is something that would be best addressed by in-person lessons (pandemic permitting). Lots of women play double bass. I have have been taught by two female teachers in the past, and they had no problems at all playing a 3/4 sized instrument. One was average height, and one was very short, probably about 5 foot tall.
Some good points have been made above. I would add the following:
1. Your hands get used to the stretch over time and you will be surprised, if playing with good technique, of how well your hands adapt to the full tone they cover in half position (in Simandl terms).
2. The strength in your arms, shoulders and back takes a few months to build up. This too will help.
3. The set-up of your instrument is key. A teacher or luthier can advise on this. It makes a huge difference.
4. Get a teacher, if only for a handful of lessons (once lockdown is over) - this instrument requires some formal instruction in the early stages. Some do without, but the easiest, quickest and most effective way is to have someone observe you and give you real-time pointers.