Thank you for your query at AskTheDoctor.com.I understand your concern.
Tea tree oil if in contact with the skin in excessive amounts does cause local burning and irritation but won't have any systemic effects, so do not worry about any systemic issues like palpitations, giddiness or anaphylaxis.
The skin can burn for some time, prophylactically you can take Loratadine 10 mg SOS and if required again once daily at bedtime.
Apart from that just carefully observe your skin for any blisters or rash. Let me know if you experience any other symptoms.
Hope this was helpful,
Feel free to discuss further,
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