As an independent contractor, your daughter will simply report her income and expenses on Schedule C of her tax return. When tax time comes around, if she is comfortable working with tax forms then this is really something she can do on her own just by following the instructions for Schedule C. If she is not comfortable working with tax forms, then any tax firm such as H&R Block or similar agencies can file her return, so you would not need to incur the expense of an accountant.
Any expenses that your daughter has directly related to this job may be deducted against the income that she is paid. She will then only owe tax on the net amount after expenses. Her expenses might include such things as use of part of her home as an office or supplies that she purchases, licenses she holds, etc. As far as the computer that she purchased, she would claim a depreciation allowance each year as an expense for the next 5 years. As an example, if she paid $1,000 for the computer, then she would claim a deduction of $200 per year for depreciation for each of the next 5 years. This is assuming that the computer is used entirely for business. If it is also used for personal use, then she can only claim the percentage that it is used for business purposes.
As far as health insurance, she can simply purchase an insurance plan on her own as an individual. She would not qualify to purchase one as a company since she has no employees. The cost she pays for her premiums would be an allowed deduction on her tax return.
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Thank you mommak